LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/9407198

null

Stefan Forste

A truly marginal deformation of SL(2,R) in a null direction

6 pages, RI-8-94 (One reference and two footnotes added.)

Phys.Lett. B338 (1994) 36-39

10.1016/0370-2693(94)91340-4

null

hep-th

null

We perform a marginal deformation of the SL(2,R) WZW model in a null direction. If we send the deformation parameter to infinity we obtain a linear dilaton background plus two free bosons. We show in addition that such a background can be obtained by a duality transformation of the undeformed WZW model. In the end we indicate how to generalize the given procedure.

[ { "created": "Sun, 31 Jul 1994 14:59:00 GMT", "version": "v1" }, { "created": "Thu, 4 Aug 1994 11:56:00 GMT", "version": "v2" } ]

2009-10-28

[ [ "Forste", "Stefan", "" ] ]

We perform a marginal deformation of the SL(2,R) WZW model in a null direction. If we send the deformation parameter to infinity we obtain a linear dilaton background plus two free bosons. We show in addition that such a background can be obtained by a duality transformation of the undeformed WZW model. In the end we indicate how to generalize the given procedure.

10.409324

8.826181

11.076159

8.438263

8.837354

8.982559

7.793716

8.039959

9.108606

11.634588

8.575738

8.366859

11.114863

9.478608

9.234004

8.992851

8.617303

8.915157

9.164823

10.561509

8.671399

1912.03181

Matthew Yu

Ziqi Yan, Matthew Yu

Background Field Method for Nonlinear Sigma Models in Nonrelativistic String Theory

38 pages, 1 figure; v2: references added; v3: minor corrections

null

10.1007/JHEP03(2020)181

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We continue the study of nonrelativistic string theory in background fields. Nonrelativistic string theory is described by a nonlinear sigma model that maps a relativistic worldsheet to a non-Lorentzian and non-Riemannian target space geometry, which is known to be string Newton-Cartan geometry. We develop the covariant background field method in this non-Riemannian geometry. We apply this background field method to compute the beta-functions of the nonlinear sigma model that describes nonrelativistic string theory on a string Newton-Cartan geometry background, in presence of a Kalb-Ramond two-form and dilaton field.

[ { "created": "Fri, 6 Dec 2019 15:28:57 GMT", "version": "v1" }, { "created": "Thu, 2 Apr 2020 16:55:13 GMT", "version": "v2" }, { "created": "Tue, 9 Feb 2021 18:34:22 GMT", "version": "v3" } ]

2021-02-10

[ [ "Yan", "Ziqi", "" ], [ "Yu", "Matthew", "" ] ]

We continue the study of nonrelativistic string theory in background fields. Nonrelativistic string theory is described by a nonlinear sigma model that maps a relativistic worldsheet to a non-Lorentzian and non-Riemannian target space geometry, which is known to be string Newton-Cartan geometry. We develop the covariant background field method in this non-Riemannian geometry. We apply this background field method to compute the beta-functions of the nonlinear sigma model that describes nonrelativistic string theory on a string Newton-Cartan geometry background, in presence of a Kalb-Ramond two-form and dilaton field.

5.463001

4.423128

5.903998

4.961976

4.91226

4.384578

4.486034

4.268991

4.766589

6.088325

4.800769

5.245676

5.431562

5.279363

4.928309

5.096614

5.040312

5.023435

5.05182

5.527479

4.986387

2011.13936

Sebasti\'an C\'espedes

Sebastian Cespedes, Senarath P. de Alwis, Francesco Muia and Fernando Quevedo

Lorentzian Vacuum Transitions: Open or Closed Universes?

41 pages+ appendices, 15 figues. Minor rewording and references added

Phys. Rev. D 104, 026013 (2021)

10.1103/PhysRevD.104.026013

null

hep-th astro-ph.CO gr-qc

http://creativecommons.org/licenses/by/4.0/

We consider the generalisation of quantum tunneling transitions in the WKB approximation to the time-independent functional Schr\"odinger and Wheeler-DeWitt equations. Following a Lorentzian approach, we compute the transition rates among different scalar field vacua and compare with those performed by Coleman and collaborators using the Euclidean approach. For gravity, we develop a general formalism for computing transition rates in Wheeler's superspace. This is then applied to computing decays in flat space and then to transitions in the presence of gravity. In the latter case we point out the complexities arising from having non-positive definite kinetic terms illustrating them in the simplified context of mini-superspace. This corresponds to a generalisation of the well-known `tunneling from nothing' scenarios. While we can obtain the leading term for the transitions obtained by Euclidean methods we also point out some differences and ambiguities. We show that there is no obstruction to keeping the spherically ($SO(4)$) symmetric closed slicing for the new vacuum after a de Sitter to de Sitter transition. We argue that this is the natural Lorentzian realisation of the Coleman-De Luccia instanton and that a closed universe is also obtained if the mini-superspace assumption is relaxed. This is contrary to the open universe predicted by Coleman-De Luccia which relies on an analytic continuation performed after bubble nucleation. Our findings may have important cosmological implications related to the origin of inflation and to the string landscape. In particular, they question the widespread belief that evidence for a closed universe would rule out the string landscape.

[ { "created": "Fri, 27 Nov 2020 19:00:01 GMT", "version": "v1" }, { "created": "Thu, 10 Dec 2020 09:42:55 GMT", "version": "v2" } ]

2021-08-04

[ [ "Cespedes", "Sebastian", "" ], [ "de Alwis", "Senarath P.", "" ], [ "Muia", "Francesco", "" ], [ "Quevedo", "Fernando", "" ] ]

We consider the generalisation of quantum tunneling transitions in the WKB approximation to the time-independent functional Schr\"odinger and Wheeler-DeWitt equations. Following a Lorentzian approach, we compute the transition rates among different scalar field vacua and compare with those performed by Coleman and collaborators using the Euclidean approach. For gravity, we develop a general formalism for computing transition rates in Wheeler's superspace. This is then applied to computing decays in flat space and then to transitions in the presence of gravity. In the latter case we point out the complexities arising from having non-positive definite kinetic terms illustrating them in the simplified context of mini-superspace. This corresponds to a generalisation of the well-known `tunneling from nothing' scenarios. While we can obtain the leading term for the transitions obtained by Euclidean methods we also point out some differences and ambiguities. We show that there is no obstruction to keeping the spherically ($SO(4)$) symmetric closed slicing for the new vacuum after a de Sitter to de Sitter transition. We argue that this is the natural Lorentzian realisation of the Coleman-De Luccia instanton and that a closed universe is also obtained if the mini-superspace assumption is relaxed. This is contrary to the open universe predicted by Coleman-De Luccia which relies on an analytic continuation performed after bubble nucleation. Our findings may have important cosmological implications related to the origin of inflation and to the string landscape. In particular, they question the widespread belief that evidence for a closed universe would rule out the string landscape.

11.154801

12.198274

11.805922

11.537298

11.57827

11.9359

11.935208

11.196341

11.180161

12.660447

11.55226

11.373508

11.520097

11.307393

11.161641

11.374135

11.485076

11.22836

11.003547

11.390065

11.020153

hep-th/0211201

David A. Lowe

Richard C. Brower, David A. Lowe and Chung-I Tan

Hagedorn transition for strings on pp-waves and tori with chemical potentials

15 pages, latex, references added and minor corrections

Nucl.Phys. B652 (2003) 127-141

10.1016/S0550-3213(03)00003-8

BROWN-HET-1335

hep-th

null

It has been conjectured that string theory in a pp-wave background is dual to a sector of N=4 supersymmetric Yang-Mills theory. We study the Hagedorn transition for free strings in this background. We find that the free energy at the transition point is finite suggesting a confinement/deconfinement transition in the gauge theory. In the limit of vanishing mass parameter the free energy matches that of free strings on an 8-torus with momentum/winding chemical potential. The entropy in the microcanonical ensemble with fixed energy and fixed momentum/winding is computed in each case.

[ { "created": "Thu, 21 Nov 2002 19:21:37 GMT", "version": "v1" }, { "created": "Mon, 2 Dec 2002 15:51:33 GMT", "version": "v2" } ]

2010-04-05

[ [ "Brower", "Richard C.", "" ], [ "Lowe", "David A.", "" ], [ "Tan", "Chung-I", "" ] ]

It has been conjectured that string theory in a pp-wave background is dual to a sector of N=4 supersymmetric Yang-Mills theory. We study the Hagedorn transition for free strings in this background. We find that the free energy at the transition point is finite suggesting a confinement/deconfinement transition in the gauge theory. In the limit of vanishing mass parameter the free energy matches that of free strings on an 8-torus with momentum/winding chemical potential. The entropy in the microcanonical ensemble with fixed energy and fixed momentum/winding is computed in each case.

7.671141

6.712238

8.941803

6.604668

6.755364

7.090084

6.816628

6.256578

6.090618

7.910502

6.698461

7.112524

7.530337

6.571107

7.018164

6.943831

7.009797

6.847051

6.675995

7.563646

6.728361

0912.2488

Shin'ichi Nojiri

Shin'ichi Nojiri, Sergei D. Odintsov, Alexey Toporensky, and Petr Tretyakov

Reconstruction and deceleration-acceleration transitions in modified gravity

LaTeX 8 pages, published version.

Gen.Rel.Grav.42:1997-2008,2010

10.1007/s10714-010-0977-5

null

hep-th astro-ph.CO gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We discuss the cosmological reconstruction in modified Gauss-Bonnet and F(R) gravities. Two alternative representations of the action (with and without auxiliary scalar) are considered. The approximate description of deceleration-acceleration transition cosmologies is reconstructed. It is shown that cosmological solution containing Big Bang and Big Rip singularities may be reconstructed only using the representation with the auxiliary field. The analytical description of the deceleration-acceleration transition cosmology in modified Gauss-Bonnet gravity is demonstrated to be impossible at sufficiently general conditions.

[ { "created": "Sun, 13 Dec 2009 09:58:04 GMT", "version": "v1" }, { "created": "Tue, 15 Dec 2009 23:12:11 GMT", "version": "v2" }, { "created": "Thu, 25 Mar 2010 13:54:23 GMT", "version": "v3" } ]

2014-11-20

[ [ "Nojiri", "Shin'ichi", "" ], [ "Odintsov", "Sergei D.", "" ], [ "Toporensky", "Alexey", "" ], [ "Tretyakov", "Petr", "" ] ]

We discuss the cosmological reconstruction in modified Gauss-Bonnet and F(R) gravities. Two alternative representations of the action (with and without auxiliary scalar) are considered. The approximate description of deceleration-acceleration transition cosmologies is reconstructed. It is shown that cosmological solution containing Big Bang and Big Rip singularities may be reconstructed only using the representation with the auxiliary field. The analytical description of the deceleration-acceleration transition cosmology in modified Gauss-Bonnet gravity is demonstrated to be impossible at sufficiently general conditions.

9.617702

9.47911

9.099694

8.80613

8.182979

9.652064

8.620313

8.528687

9.377258

9.478371

8.832366

8.85818

9.00474

8.907512

8.832664

8.910354

9.111339

8.936128

9.196717

8.969187

8.88569

0710.3564

David A. Lowe

Some comments on embedding inflation in the AdS/CFT correspondence

15 pages, 4 figures, revtex4

Phys.Rev.D77:066003,2008

10.1103/PhysRevD.77.066003

null

hep-th

null

The anti-de Sitter space/conformal field theory correspondence (AdS/CFT) can potentially provide a complete formulation of string theory on a landscape of stable and metastable vacua that naturally give rise to eternal inflation. As a model for this process, we consider bubble solutions with de Sitter interiors, obtained by patching together dS and Schwarzschild-AdS solutions along a bubble wall. For an interesting subclass of these solutions the bubble wall reaches spacelike infinity in the black hole interior. Including the effects of perturbations leads to a null singularity emanating from this point. Such solutions are interpreted as states in a single CFT, and are shown to be compatible with holographic entropy bounds. The construction suggests de Sitter entropy be interpreted as the total number of degrees of freedom in effective field theory, with a novel adaptive stepsize cutoff.

[ { "created": "Thu, 18 Oct 2007 17:52:41 GMT", "version": "v1" } ]

2008-11-26

[ [ "Lowe", "David A.", "" ] ]

The anti-de Sitter space/conformal field theory correspondence (AdS/CFT) can potentially provide a complete formulation of string theory on a landscape of stable and metastable vacua that naturally give rise to eternal inflation. As a model for this process, we consider bubble solutions with de Sitter interiors, obtained by patching together dS and Schwarzschild-AdS solutions along a bubble wall. For an interesting subclass of these solutions the bubble wall reaches spacelike infinity in the black hole interior. Including the effects of perturbations leads to a null singularity emanating from this point. Such solutions are interpreted as states in a single CFT, and are shown to be compatible with holographic entropy bounds. The construction suggests de Sitter entropy be interpreted as the total number of degrees of freedom in effective field theory, with a novel adaptive stepsize cutoff.

11.594809

13.060567

12.897316

10.814727

12.837221

12.11864

11.740657

11.620712

11.983929

13.417048

11.603269

11.732869

11.859812

11.407454

11.843112

11.581409

11.651259

11.544699

11.600289

11.900933

11.536836

hep-th/9503157

Nekrassov Alexandrovich

Nikita Nekrasov

Holomorphic Bundles and Many-Body Systems

harvmac, 21 pages. In the revised version the formulas for the Lax operator on the arbitrary genus curve are added

Commun.Math.Phys. 180 (1996) 587-604

10.1007/BF02099624

PUPT-1534, ITEP-N95/1

hep-th alg-geom math.AG

null

We show that spin generalization of elliptic Calogero-Moser system, elliptic extension of Gaudin model and their cousins can be treated as a degenerations of Hitchin systems. Applications to the constructions of integrals of motion, angle-action variables and quantum systems are discussed. Explicit formulas for the Lax operator on the higher genus surfaces are obtained in the Shottky parameterization. The constructions are motivated by the Conformal Field Theory, and their quantum counterpart can be treated as a degeneration of the critical level Knizhnik-Zamolodchikov-Bernard equations.

[ { "created": "Thu, 23 Mar 1995 20:09:43 GMT", "version": "v1" }, { "created": "Fri, 24 Mar 1995 06:07:39 GMT", "version": "v2" }, { "created": "Sun, 30 Apr 1995 23:28:36 GMT", "version": "v3" }, { "created": "Mon, 1 May 1995 17:36:44 GMT", "version": "v4" } ]

2009-10-28

[ [ "Nekrasov", "Nikita", "" ] ]

We show that spin generalization of elliptic Calogero-Moser system, elliptic extension of Gaudin model and their cousins can be treated as a degenerations of Hitchin systems. Applications to the constructions of integrals of motion, angle-action variables and quantum systems are discussed. Explicit formulas for the Lax operator on the higher genus surfaces are obtained in the Shottky parameterization. The constructions are motivated by the Conformal Field Theory, and their quantum counterpart can be treated as a degeneration of the critical level Knizhnik-Zamolodchikov-Bernard equations.

9.677825

9.891562

14.053639

9.122654

9.396567

9.558345

10.34049

9.366603

8.95145

12.803888

9.097791

9.162096

10.247444

9.017117

9.198522

8.96776

9.129432

9.283668

9.04077

10.361836

8.855752

2204.02981

Atakan Hilmi F{\i}rat

Sergei Alexandrov, Atakan Hilmi F{\i}rat, Manki Kim, Ashoke Sen, Bogdan Stefa\'nski jr

D-instanton Induced Superpotential

34+31 pages; v2: references added

JHEP07(2022)090

10.1007/JHEP07(2022)090

L2C:22-026, MIT-CTP/5416

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We use string field theory to fix the normalization of the D-instanton corrections to the superpotential involving the moduli fields of type II string theory compactified on an orientifold of a Calabi-Yau threefold in the absence of fluxes. We focus on $O(1)$ instantons whose only zero modes are the four bosonic modes associated with translation of the instanton in non-compact directions and a pair of fermionic zero modes associated with the two supercharges broken by the instanton. We work with a generic superconformal field theory and express our answer in terms of the spectrum of open strings on the instanton. We analyse the contribution of multi-instantons of this kind to the superpotential and argue that it vanishes when background fluxes are absent.

[ { "created": "Wed, 6 Apr 2022 18:00:00 GMT", "version": "v1" }, { "created": "Thu, 12 May 2022 13:49:30 GMT", "version": "v2" } ]

2022-07-20

[ [ "Alexandrov", "Sergei", "" ], [ "Fırat", "Atakan Hilmi", "" ], [ "Kim", "Manki", "" ], [ "Sen", "Ashoke", "" ], [ "Stefański", "Bogdan", "jr" ] ]

We use string field theory to fix the normalization of the D-instanton corrections to the superpotential involving the moduli fields of type II string theory compactified on an orientifold of a Calabi-Yau threefold in the absence of fluxes. We focus on $O(1)$ instantons whose only zero modes are the four bosonic modes associated with translation of the instanton in non-compact directions and a pair of fermionic zero modes associated with the two supercharges broken by the instanton. We work with a generic superconformal field theory and express our answer in terms of the spectrum of open strings on the instanton. We analyse the contribution of multi-instantons of this kind to the superpotential and argue that it vanishes when background fluxes are absent.

7.093116

7.312975

7.470241

6.892612

7.492433

7.082345

7.37308

7.128075

6.491516

8.268913

6.945842

7.147527

7.067121

6.939057

6.91099

6.950703

7.1376

6.999032

7.018472

6.760436

6.977213

hep-th/9612163

Billy D. Jones

Billy D. Jones and Robert J. Perry (The Ohio State University)

The Lamb Shift in a Light Front Hamiltonian Approach

35 pages, latex, 5 postscript figures included

Phys.Rev. D55 (1997) 7715-7730

10.1103/PhysRevD.55.7715

null

hep-th hep-ph nucl-th

null

Light-front Hamiltonian methods are being developed to attack bound-state problems in QCD. In this paper we advance the state of the art for these methods by computing the well-known Lamb shift in hydrogen starting from first principles of QED. There are obvious but significant qualitative differences between QED and QCD. In this paper, we discuss the similarities that may survive in a non-perturbative QCD calculation in the context of a precision non-perturbative QED calculation. Central to the discussion are how a constituent picture arises in a gauge field theory, how bound-state energy scales emerge to guide the renormalization procedure, and how rotational invariance emerges in a light-front calculation.

[ { "created": "Sun, 15 Dec 1996 23:03:55 GMT", "version": "v1" } ]

2009-10-30

[ [ "Jones", "Billy D.", "", "The Ohio State University" ], [ "Perry", "Robert J.", "", "The Ohio State University" ] ]

Light-front Hamiltonian methods are being developed to attack bound-state problems in QCD. In this paper we advance the state of the art for these methods by computing the well-known Lamb shift in hydrogen starting from first principles of QED. There are obvious but significant qualitative differences between QED and QCD. In this paper, we discuss the similarities that may survive in a non-perturbative QCD calculation in the context of a precision non-perturbative QED calculation. Central to the discussion are how a constituent picture arises in a gauge field theory, how bound-state energy scales emerge to guide the renormalization procedure, and how rotational invariance emerges in a light-front calculation.

10.229112

9.268988

10.748005

9.917561

10.625015

9.691397

10.334141

9.774252

9.600581

11.236391

9.641393

9.661103

10.444406

10.241076

9.63594

9.762733

9.605666

9.890396

9.606823

10.010964

9.806854

hep-th/0612253

Daniel Waldram

Jerome P. Gauntlett, Nakwoo Kim and Daniel Waldram

Supersymmetric AdS_3, AdS_2 and Bubble Solutions

v2: 33 pages, published version in JHEP

JHEP 0704:005,2007

10.1088/1126-6708/2007/04/005

Imperial/TP/2006/JG/03

hep-th

null

We present new supersymmetric AdS_3 solutions of type IIB supergravity and AdS_2 solutions of D=11 supergravity. The former are dual to conformal field theories in two dimensions with N=(0,2) supersymmetry while the latter are dual to conformal quantum mechanics with two supercharges. Our construction also includes AdS_2 solutions of D=11 supergravity that have non-compact internal spaces which are dual to three-dimensional N=2 superconformal field theories coupled to point-like defects. We also present some new bubble-type solutions, corresponding to BPS states in conformal theories, that preserve four supersymmetries.

[ { "created": "Fri, 22 Dec 2006 20:03:44 GMT", "version": "v1" }, { "created": "Mon, 16 Jul 2007 14:54:30 GMT", "version": "v2" } ]

2010-10-27

[ [ "Gauntlett", "Jerome P.", "" ], [ "Kim", "Nakwoo", "" ], [ "Waldram", "Daniel", "" ] ]

We present new supersymmetric AdS_3 solutions of type IIB supergravity and AdS_2 solutions of D=11 supergravity. The former are dual to conformal field theories in two dimensions with N=(0,2) supersymmetry while the latter are dual to conformal quantum mechanics with two supercharges. Our construction also includes AdS_2 solutions of D=11 supergravity that have non-compact internal spaces which are dual to three-dimensional N=2 superconformal field theories coupled to point-like defects. We also present some new bubble-type solutions, corresponding to BPS states in conformal theories, that preserve four supersymmetries.

4.837478

4.169762

5.619118

4.329025

4.674558

4.565002

4.277863

4.342783

4.596879

6.410899

4.329268

4.762932

5.253323

4.61097

4.527105

4.683623

4.598149

4.598897

4.627001

5.50224

4.546632

hep-th/0309042

Gianmassimo Tasinato

H.-P. Nilles, A. Papazoglou, G. Tasinato (Bonn U.)

Selftuning and its footprints

28 pages, JHEP style. v2: typos corrected and references added. Published version

Nucl.Phys.B677:405-429,2004

10.1016/j.nuclphysb.2003.11.003

null

hep-th astro-ph gr-qc hep-ph

null

We re-consider the self tuning idea in brane world models of finite volume. We notice that in a large class of self tuning models, the four dimensional physics is sensitive to the vacuum energy on the brane. In particular the compactification volume changes each time the tension of the brane is modified: consequently, observable constants, as the effective Planck mass or masses of matter fields, change as well. We notice that the self tuning mechanism and the stabilization mechanism of the size of the extra dimensions are generically in apparent conflict. We focus on a self tuning model in six spacetime dimensions to analyze how the above considerations are explicitely realized.

[ { "created": "Wed, 3 Sep 2003 16:28:15 GMT", "version": "v1" }, { "created": "Thu, 4 Sep 2003 13:41:42 GMT", "version": "v2" }, { "created": "Fri, 5 Dec 2003 09:03:54 GMT", "version": "v3" } ]

2011-05-05

[ [ "Nilles", "H. -P.", "", "Bonn U." ], [ "Papazoglou", "A.", "", "Bonn U." ], [ "Tasinato", "G.", "", "Bonn U." ] ]

We re-consider the self tuning idea in brane world models of finite volume. We notice that in a large class of self tuning models, the four dimensional physics is sensitive to the vacuum energy on the brane. In particular the compactification volume changes each time the tension of the brane is modified: consequently, observable constants, as the effective Planck mass or masses of matter fields, change as well. We notice that the self tuning mechanism and the stabilization mechanism of the size of the extra dimensions are generically in apparent conflict. We focus on a self tuning model in six spacetime dimensions to analyze how the above considerations are explicitely realized.

13.662837

11.959044

11.20557

10.696525

11.463984

11.517859

10.813618

11.164202

11.435925

11.83215

11.222183

11.427114

11.455478

11.066072

11.198243

11.617286

11.261801

11.026769

10.971263

11.519276

10.950786

hep-th/0212141

Maria A. Lledo

L. Andrianopoli, R. D'Auria, S. Ferrara, M. A. Lledo

Gauged extended supergravity without cosmological constant: no-scale structure and supersymmetry breaking

AMS-LaTeX, 16 pages. Invited paper to appear in the review section of the IJMPA

Mod.Phys.Lett. A18 (2003) 1001-1012

10.1142/S0217732303009976

CERN-TH/2002-346, UCLA/02/TEP/36

hep-th

null

We consider the interplay of duality symmetries and gauged isometries of supergravity models giving N-extended, spontaneously broken supergravity with a no-scale structure. Some examples, motivated by superstring and M-theory compactifications are described.

[ { "created": "Thu, 12 Dec 2002 15:03:29 GMT", "version": "v1" } ]

2009-11-07

[ [ "Andrianopoli", "L.", "" ], [ "D'Auria", "R.", "" ], [ "Ferrara", "S.", "" ], [ "Lledo", "M. A.", "" ] ]

We consider the interplay of duality symmetries and gauged isometries of supergravity models giving N-extended, spontaneously broken supergravity with a no-scale structure. Some examples, motivated by superstring and M-theory compactifications are described.

11.821938

9.267025

10.960737

9.899354

9.564108

9.67331

9.075084

9.813104

9.972374

14.299847

9.871091

10.125184

12.866856

10.394741

10.135116

10.674034

10.574583

10.229414

10.880373

12.118331

10.12339

hep-th/9404092

Elias Kiritsis

E. Kiritsis and C. Kounnas (CERN)

Dynamical Topology Change in String Theory

LaTeX file, 17pp., CERN-TH.7219/94, LPTENS-94/11. (Discussions have been clarified in several places)

Phys.Lett. B331 (1994) 51-62

10.1016/0370-2693(94)90942-3

null

hep-th astro-ph gr-qc

null

Exact string solutions are presented, providing backgrounds where a dynamical change of topology is occuring. This is induced by the time variation of a modulus field. Some lessons are drawn concerning the region of validity of effective theories and how they can be glued together, using stringy information in the region where the topology changes.

[ { "created": "Fri, 15 Apr 1994 13:05:28 GMT", "version": "v1" }, { "created": "Sat, 23 Apr 1994 09:13:08 GMT", "version": "v2" }, { "created": "Thu, 19 May 1994 19:27:17 GMT", "version": "v3" } ]

2009-10-28

[ [ "Kiritsis", "E.", "", "CERN" ], [ "Kounnas", "C.", "", "CERN" ] ]

Exact string solutions are presented, providing backgrounds where a dynamical change of topology is occuring. This is induced by the time variation of a modulus field. Some lessons are drawn concerning the region of validity of effective theories and how they can be glued together, using stringy information in the region where the topology changes.

24.210747

18.229677

17.985468

17.301086

15.509448

16.01001

17.734161

15.413883

17.668026

17.54315

18.179565

19.852661

20.665089

19.770826

18.03183

18.402678

19.377047

18.561422

18.741005

20.752914

19.92037

hep-th/0701194

Scott Chapman

Symmetry Breaking in BRST Quantization of SU(3)

null

hep-th

null

New BRST-invariant states for SU(3) gauge field theory are presented. The states have finite norms and unlike the states that are usually used to derive path integrals, they break SU(3) symmetry by choosing preferred gauge directions. This symmetry breaking may also give effective masses to some of the gauge bosons of the theory.

[ { "created": "Sun, 21 Jan 2007 22:43:22 GMT", "version": "v1" } ]

2007-05-23

[ [ "Chapman", "Scott", "" ] ]

New BRST-invariant states for SU(3) gauge field theory are presented. The states have finite norms and unlike the states that are usually used to derive path integrals, they break SU(3) symmetry by choosing preferred gauge directions. This symmetry breaking may also give effective masses to some of the gauge bosons of the theory.

16.721355

14.041186

14.457098

13.58609

14.809571

15.346397

16.070923

15.532742

15.073189

13.924121

15.291241

13.794659

14.099165

14.311954

13.995163

13.802551

13.862283

13.678909

14.039423

14.096147

14.438635

1005.5274

Ram Brustein

Ram Brustein, A.J.M. Medved

Unitarity constraints on the ratio of shear viscosity to entropy density in higher derivative gravity

Sign error in the equations of motion corrected, leading to several numerical changes. Clarifications added, references added. Main results and cnclusions essentially unchanged. V3 published version. Clarifications added, discussion of Gauss-Bonnet moved to main text

Phys.Rev.D83:126005,2011

10.1103/PhysRevD.83.126005

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We discuss corrections to the ratio of shear viscosity to entropy density $\eta/s$ in higher-derivative gravity theories. Generically, these theories contain ghost modes with Planck-scale masses. Motivated by general considerations about unitarity, we propose new boundary conditions for the equations of motion of the graviton perturbations that force the amplitude of the ghosts modes to vanish. We analyze explicitly four-derivative perturbative corrections to Einstein gravity which generically lead to four-derivative equations of motion, compare our choice of boundary conditions to previous proposals and show that, with our new prescription, the ratio $\eta/s$ remains at the Einstein-gravity value of $1/4\pi$ to leading order in the corrections. It is argued that, when the new boundary conditions are imposed on six and higher-derivative equations of motion, $\eta/s$ can only increase from the Einstein-gravity value. We also recall some general arguments that support the validity of our results to all orders in the strength of the corrections to Einstein gravity. We then discuss the particular case of Gauss-Bonnet gravity, for which the equations of motion are only of two-derivative order and the value of $\eta/s$ can decrease below $1/4\pi$ when treated in a nonperturbative way. Our findings provide further evidence for the validity of the KSS bound for theories that can be viewed as perturbative corrections to Einstein Gravity.

[ { "created": "Fri, 28 May 2010 12:08:07 GMT", "version": "v1" }, { "created": "Mon, 28 Jun 2010 07:25:08 GMT", "version": "v2" }, { "created": "Mon, 25 Jul 2011 13:31:45 GMT", "version": "v3" } ]

2011-07-26

[ [ "Brustein", "Ram", "" ], [ "Medved", "A. J. M.", "" ] ]

We discuss corrections to the ratio of shear viscosity to entropy density $\eta/s$ in higher-derivative gravity theories. Generically, these theories contain ghost modes with Planck-scale masses. Motivated by general considerations about unitarity, we propose new boundary conditions for the equations of motion of the graviton perturbations that force the amplitude of the ghosts modes to vanish. We analyze explicitly four-derivative perturbative corrections to Einstein gravity which generically lead to four-derivative equations of motion, compare our choice of boundary conditions to previous proposals and show that, with our new prescription, the ratio $\eta/s$ remains at the Einstein-gravity value of $1/4\pi$ to leading order in the corrections. It is argued that, when the new boundary conditions are imposed on six and higher-derivative equations of motion, $\eta/s$ can only increase from the Einstein-gravity value. We also recall some general arguments that support the validity of our results to all orders in the strength of the corrections to Einstein gravity. We then discuss the particular case of Gauss-Bonnet gravity, for which the equations of motion are only of two-derivative order and the value of $\eta/s$ can decrease below $1/4\pi$ when treated in a nonperturbative way. Our findings provide further evidence for the validity of the KSS bound for theories that can be viewed as perturbative corrections to Einstein Gravity.

5.387558

5.683869

5.370444

5.392167

5.542878

5.586375

5.432145

5.506337

5.337182

5.903087

5.503815

5.254011

5.588029

5.394016

5.30622

5.32013

5.393319

5.334336

5.31569

5.463219

5.317837

hep-th/9307102

Palev Tchavpar

T. D. Palev and N. I. Stoilova

Wigner Quantum Oscillators

8 pagex, TeX, IC/93/190

J.Phys. A27 (1994) 977-984

10.1088/0305-4470/27/3/035

null

hep-th

null

We present three groups of noncanonical quantum oscillators. The position and the momentum operators of each of the groups generate basic Lie superalgebras, namely $sl(1/3)$, $osp(1/6)$ and $osp(3/2)$. The $sl(1/3)$-oscillators have finite energy spectrum and finite-dimensions. The $osp(1/6)$-oscillators are related to the para-Bose statistictics. The internal angular momentum $s$ of the $osp(3/2)$-oscillators takes no more than three (half)integer values. In a particular representation $s=1/2$.

[ { "created": "Thu, 15 Jul 1993 16:01:00 GMT", "version": "v1" } ]

2009-10-22

[ [ "Palev", "T. D.", "" ], [ "Stoilova", "N. I.", "" ] ]

We present three groups of noncanonical quantum oscillators. The position and the momentum operators of each of the groups generate basic Lie superalgebras, namely $sl(1/3)$, $osp(1/6)$ and $osp(3/2)$. The $sl(1/3)$-oscillators have finite energy spectrum and finite-dimensions. The $osp(1/6)$-oscillators are related to the para-Bose statistictics. The internal angular momentum $s$ of the $osp(3/2)$-oscillators takes no more than three (half)integer values. In a particular representation $s=1/2$.

6.916105

6.648839

7.034831

6.27953

6.904075

6.748218

6.787312

6.358129

7.081348

7.743048

6.456049

6.662195

6.909506

6.464175

6.420074

6.530709

6.68616

6.576368

6.404452

7.026483

6.534149

hep-th/0203014

Massimo Porrati

M. Porrati

Fully Covariant Van Dam-Veltman-Zakharov Discontinuity, and Absence Thereof

Inconsequential mistakes in Eqs. (12,13,20) corrected. 10 pages, Latex. To appear in Physics Letters B

Phys.Lett.B534:209-215,2002

10.1016/S0370-2693(02)01656-8

NYU-TH/02/02/01

hep-th

null

In both old and recent literature, it has been argued that the celebrated van Dam-Veltman-Zakharov (vDVZ) discontinuity of massive gravity is an artifact due to linearization of the true equations of motion. In this letter, we investigate that claim. First, we exhibit an explicit -albeit somewhat arbitrary- fully covariant set of equations of motion that, upon linearization, reduce to the standard Pauli-Fierz equations. We show that the vDVZ discontinuity still persists in that non-linear, covariant theory. Then, we restrict our attention to a particular system that consistently incorporates massive gravity: the Dvali-Gabadadze-Porrati (DGP) model. DGP is fully covariant and does not share the arbitrariness and imperfections of our previous covariantization, and its linearization exhibits a vDVZ discontinuity. Nevertheless, we explicitly show that the discontinuity does disappear in the fully covariant theory, and we explain the reason for this phenomenon.

[ { "created": "Fri, 1 Mar 2002 18:06:09 GMT", "version": "v1" }, { "created": "Fri, 12 Apr 2002 18:25:56 GMT", "version": "v2" } ]

2008-11-26

[ [ "Porrati", "M.", "" ] ]

In both old and recent literature, it has been argued that the celebrated van Dam-Veltman-Zakharov (vDVZ) discontinuity of massive gravity is an artifact due to linearization of the true equations of motion. In this letter, we investigate that claim. First, we exhibit an explicit -albeit somewhat arbitrary- fully covariant set of equations of motion that, upon linearization, reduce to the standard Pauli-Fierz equations. We show that the vDVZ discontinuity still persists in that non-linear, covariant theory. Then, we restrict our attention to a particular system that consistently incorporates massive gravity: the Dvali-Gabadadze-Porrati (DGP) model. DGP is fully covariant and does not share the arbitrariness and imperfections of our previous covariantization, and its linearization exhibits a vDVZ discontinuity. Nevertheless, we explicitly show that the discontinuity does disappear in the fully covariant theory, and we explain the reason for this phenomenon.

6.374955

6.692342

6.475095

6.135303

6.725815

6.697359

6.314485

6.182268

6.288694

6.748578

6.345761

5.959399

6.239406

6.084673

6.227983

6.142545

6.145213

6.169185

6.097789

6.168777

6.063616

hep-th/9501112

Filippo Colomo

Luca LUSANNA

Hamiltonian Constraints and Dirac's Observables: from Relativistic Particles towards Field Theory and General Relativity.

Plain TEX, 15 pages, Talk given at the Workshop "Geometry of Constrained Dynamical Systems", June 15-18, 1994, Cambridge, UK.

null

hep-th gr-qc

null

A review is given of the presymplectic approach to relativistic physical systems and of the determination of their Dirac's observables. After relativistic mechanics and Nambu string, the Dirac's observables of Yang-Mills theory with fermions are given for the case of massless vector bosons (like in QED). A Dirac-Yukawa-like intrinsic ultraviolet cut-off is identified from the study of the covariantization of Hamiltonian classical field theory in the Dirac-Tomonaga-Schwinger sens. The implications fo the solution of the constraints of tetrad gravity are shown.

[ { "created": "Tue, 24 Jan 1995 12:15:30 GMT", "version": "v1" } ]

2016-09-06

[ [ "LUSANNA", "Luca", "" ] ]

A review is given of the presymplectic approach to relativistic physical systems and of the determination of their Dirac's observables. After relativistic mechanics and Nambu string, the Dirac's observables of Yang-Mills theory with fermions are given for the case of massless vector bosons (like in QED). A Dirac-Yukawa-like intrinsic ultraviolet cut-off is identified from the study of the covariantization of Hamiltonian classical field theory in the Dirac-Tomonaga-Schwinger sens. The implications fo the solution of the constraints of tetrad gravity are shown.

18.188044

18.448725

15.179139

15.915352

14.904921

18.023951

18.098108

15.827826

16.313503

18.078648

14.975574

15.990783

16.166716

16.202206

15.584693

16.271481

15.318995

15.4511

15.94514

16.006395

16.081709

hep-th/0002254

Bervillier

C. Bagnuls and C. Bervillier

Renormalization group domains of the scalar Hamiltonian

13 pages, 6 figures, to appear in Cond. Matt. Phys, some minor corrections

Condensed Matter Phys.3:559,2000

null

S00/013, T00/025

hep-th cond-mat

null

Using the local potential approximation of the exact renormalization group (RG) equation, we show the various domains of values of the parameters of the O(1)-symmetric scalar Hamiltonian. In three dimensions, in addition to the usual critical surface $S_{c}$ (attraction domain of the Wilson-Fisher fixed point), we explicitly show the existence of a first-order phase transition domain $S_{f}$ separated from $S_{c}$ by the tricritical surface $S_{t}$ (attraction domain of the Gaussian fixed point). $S_{f}$ and $S_{c}$ are two distinct domains of repulsion for the Gaussian fixed point, but $S_{f}$ is not the basin of attraction of a fixed point. $S_{f}$ is characterized by an endless renormalized trajectory lying entirely in the domain of negative values of the $\phi ^{4}$-coupling. This renormalized trajectory exists also in four dimensions making the Gaussian fixed point ultra-violet stable (and the $\phi_{4}^{4}$ renormalized field theory asymptotically free but with a wrong sign of the perfect action). We also show that very retarded classical-to-Ising crossover may exist in three dimensions (in fact below four dimensions). This could be an explanation of the unexpected classical critical behavior observed in some ionic systems.

[ { "created": "Tue, 29 Feb 2000 16:59:48 GMT", "version": "v1" }, { "created": "Tue, 4 Apr 2000 12:45:41 GMT", "version": "v2" } ]

2011-04-20

[ [ "Bagnuls", "C.", "" ], [ "Bervillier", "C.", "" ] ]

Using the local potential approximation of the exact renormalization group (RG) equation, we show the various domains of values of the parameters of the O(1)-symmetric scalar Hamiltonian. In three dimensions, in addition to the usual critical surface $S_{c}$ (attraction domain of the Wilson-Fisher fixed point), we explicitly show the existence of a first-order phase transition domain $S_{f}$ separated from $S_{c}$ by the tricritical surface $S_{t}$ (attraction domain of the Gaussian fixed point). $S_{f}$ and $S_{c}$ are two distinct domains of repulsion for the Gaussian fixed point, but $S_{f}$ is not the basin of attraction of a fixed point. $S_{f}$ is characterized by an endless renormalized trajectory lying entirely in the domain of negative values of the $\phi ^{4}$-coupling. This renormalized trajectory exists also in four dimensions making the Gaussian fixed point ultra-violet stable (and the $\phi_{4}^{4}$ renormalized field theory asymptotically free but with a wrong sign of the perfect action). We also show that very retarded classical-to-Ising crossover may exist in three dimensions (in fact below four dimensions). This could be an explanation of the unexpected classical critical behavior observed in some ionic systems.

7.986856

8.543183

8.483301

7.882964

8.762855

8.497249

8.465034

8.216409

7.991235

9.181442

8.14627

7.91916

8.212225

7.843184

8.057703

7.841705

8.083001

7.733081

7.88478

8.161642

7.802508

hep-th/0406005

Marcos Marino

Chern-Simons Theory and Topological Strings

46 pages, RMP style, 25 figures, minor corrections, references added

Rev.Mod.Phys.77:675-720,2005

10.1103/RevModPhys.77.675

CERN-PH-TH/2004-098

hep-th

null

We review the relation between Chern-Simons gauge theory and topological string theory on noncompact Calabi-Yau spaces. This relation has made possible to give an exact solution of topological string theory on these spaces to all orders in the string coupling constant. We focus on the construction of this solution, which is encoded in the topological vertex, and we emphasize the implications of the physics of string/gauge theory duality for knot theory and for the geometry of Calabi-Yau manifolds.

[ { "created": "Tue, 1 Jun 2004 08:47:23 GMT", "version": "v1" }, { "created": "Thu, 14 Oct 2004 12:34:12 GMT", "version": "v2" }, { "created": "Fri, 6 May 2005 11:02:30 GMT", "version": "v3" }, { "created": "Mon, 9 May 2005 09:55:51 GMT", "version": "v4" } ]

2008-11-26

[ [ "Marino", "Marcos", "" ] ]

We review the relation between Chern-Simons gauge theory and topological string theory on noncompact Calabi-Yau spaces. This relation has made possible to give an exact solution of topological string theory on these spaces to all orders in the string coupling constant. We focus on the construction of this solution, which is encoded in the topological vertex, and we emphasize the implications of the physics of string/gauge theory duality for knot theory and for the geometry of Calabi-Yau manifolds.

6.257802

5.970903

6.444477

5.305007

5.600354

5.380134

5.40907

5.201067

5.181279

7.434741

5.187758

5.603599

6.260045

5.593831

5.65528

5.566298

5.457915

5.602213

5.856421

6.136001

5.492194

1010.4946

Pietro Menotti

Riemann-Hilbert treatment of Liouville theory on the torus

26 pages, LaTeX, references added, typos corrected

J.Phys.A44:115403,2011

10.1088/1751-8113/44/11/115403

IFUP-TH/2010-38-r

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We apply a perturbative technique to study classical Liouville theory on the torus. After mapping the problem on the cut-plane we give the perturbative treatment for a weak source. When the torus reduces to the square the problem is exactly soluble by means of a quadratic transformation in terms of hypergeometric functions. We give general formulas for the deformation of a torus and apply them to the case of the deformation of the square. One can compute the Heun parameter to first order and express the solution in terms of quadratures. In addition we give in terms of quadratures of hypergeometric functions the exact symmetric Green function on the square on the background generated by a one point source of arbitrary strength.

[ { "created": "Sun, 24 Oct 2010 09:19:19 GMT", "version": "v1" }, { "created": "Sun, 5 Dec 2010 14:57:21 GMT", "version": "v2" } ]

2011-03-04

[ [ "Menotti", "Pietro", "" ] ]

We apply a perturbative technique to study classical Liouville theory on the torus. After mapping the problem on the cut-plane we give the perturbative treatment for a weak source. When the torus reduces to the square the problem is exactly soluble by means of a quadratic transformation in terms of hypergeometric functions. We give general formulas for the deformation of a torus and apply them to the case of the deformation of the square. One can compute the Heun parameter to first order and express the solution in terms of quadratures. In addition we give in terms of quadratures of hypergeometric functions the exact symmetric Green function on the square on the background generated by a one point source of arbitrary strength.

12.826962

12.847785

13.415005

12.188142

12.829021

12.918292

12.95146

12.425118

12.889587

13.792428

12.847752

12.499823

12.550789

12.567002

12.473512

12.868834

12.712459

12.333235

12.084684

12.572154

12.578882

hep-th/0610095

Bernard Piette

B. Piette and W.J. Zakrzewski

Dynamical properties of a Soliton in a Potential Well

21 pages, 27 figures

J.Phys.A40:329-346,2007

10.1088/1751-8113/40/2/011

null

hep-th

null

We analyse the scattering of a two-dimensional soliton on a potential well. We show that this soliton can pass through the well, bounce back or become trapped and we study the dependence of the critical velocity on the width and the depth of the well. We also present a model based on a pseudo-geodesic approximation to the full system which shows that the vibrational modes of the soliton play a crucial role in the dynamical properties of its interactions with potential wells.

[ { "created": "Mon, 9 Oct 2006 13:46:46 GMT", "version": "v1" } ]

2008-11-26

[ [ "Piette", "B.", "" ], [ "Zakrzewski", "W. J.", "" ] ]

We analyse the scattering of a two-dimensional soliton on a potential well. We show that this soliton can pass through the well, bounce back or become trapped and we study the dependence of the critical velocity on the width and the depth of the well. We also present a model based on a pseudo-geodesic approximation to the full system which shows that the vibrational modes of the soliton play a crucial role in the dynamical properties of its interactions with potential wells.

7.568758

7.771061

7.367606

7.372909

7.702998

7.919842

7.383825

6.942782

7.004962

8.413401

6.794732

7.140819

7.26124

7.041698

7.310455

7.157294

7.162837

7.218876

7.128725

7.137855

7.056391

hep-th/9704145

Pierre Vanhove

Michael B. Green (DAMTP), and Pierre Vanhove (Ecole Polytechnique)

D-instantons, Strings and M-theory

harvmac (b) 17 pages. v4: Some formulae corrected. Dimensions corrected for eleven-dimensional expressions

Phys.Lett.B408:122-134,1997

10.1016/S0370-2693(97)00785-5

DAMTP/97-31 -- CPTH-S501-0497

hep-th

null

The R^4 terms in the effective action for M-theory compactified on a two-torus are motivated by combining one-loop results in type II superstring theories with the Sl(2,Z) duality symmetry. The conjectured expression reproduces precisely the tree-level and one-loop R^4 terms in the effective action of the type II string theories compactified on a circle, together with the expected infinite sum of instanton corrections. This conjecture implies that the R^4 terms in ten-dimensional string type II theories receive no perturbative corrections beyond one loop and there are also no non-perturbative corrections in the ten-dimensional IIA theory. Furthermore, the eleven-dimensional M-theory limit exists, in which there is an R^4 term that originates entirely from the one-loop contribution in the type IIA theory and is related by supersymmetry to the eleven-form C^{(3)}R^4. The generalization to compactification on T^3 as well as implications for non-renormalization theorems in D-string and D-particle interactions are briefly discussed.

[ { "created": "Mon, 21 Apr 1997 10:29:06 GMT", "version": "v1" }, { "created": "Tue, 22 Apr 1997 18:44:57 GMT", "version": "v2" }, { "created": "Thu, 19 Jun 1997 15:40:42 GMT", "version": "v3" }, { "created": "Wed, 15 Dec 1999 15:52:04 GMT", "version": "v4" } ]

2010-11-19

[ [ "Green", "Michael B.", "", "DAMTP" ], [ "Vanhove", "Pierre", "", "Ecole Polytechnique" ] ]

The R^4 terms in the effective action for M-theory compactified on a two-torus are motivated by combining one-loop results in type II superstring theories with the Sl(2,Z) duality symmetry. The conjectured expression reproduces precisely the tree-level and one-loop R^4 terms in the effective action of the type II string theories compactified on a circle, together with the expected infinite sum of instanton corrections. This conjecture implies that the R^4 terms in ten-dimensional string type II theories receive no perturbative corrections beyond one loop and there are also no non-perturbative corrections in the ten-dimensional IIA theory. Furthermore, the eleven-dimensional M-theory limit exists, in which there is an R^4 term that originates entirely from the one-loop contribution in the type IIA theory and is related by supersymmetry to the eleven-form C^{(3)}R^4. The generalization to compactification on T^3 as well as implications for non-renormalization theorems in D-string and D-particle interactions are briefly discussed.

6.684179

6.153864

7.559422

6.089278

6.475008

6.463358

6.329246

6.341907

6.3177

8.318708

6.445604

6.251083

7.140929

6.468717

6.301188

6.301378

6.290489

6.429072

6.347988

7.088785

6.064753

hep-th/9607022

Gabriela Grunfeld

C. G. Bollini and M. C. Rocca

Is the Higgs a visible particle ?

8 pages, LaTex, no figures

Nuovo Cim. A110 (1997) 363-368

10.1007/BF03035887

null

hep-th

null

We suggest that the Higgs might be unobservable as a free particle, due to its origin at a symmetry breaking mechanism. The standard model is kept intact, only the definition of the vacuum for the Higgs is changed. With the new (natural) definition, the Higgs propagator is half advanced and half retarded. This Green function is compatible with the absence of free particles.

[ { "created": "Wed, 3 Jul 1996 16:02:26 GMT", "version": "v1" } ]

2009-10-30

[ [ "Bollini", "C. G.", "" ], [ "Rocca", "M. C.", "" ] ]

We suggest that the Higgs might be unobservable as a free particle, due to its origin at a symmetry breaking mechanism. The standard model is kept intact, only the definition of the vacuum for the Higgs is changed. With the new (natural) definition, the Higgs propagator is half advanced and half retarded. This Green function is compatible with the absence of free particles.

16.741005

15.443564

15.729741

14.727192

16.287405

17.088062

16.890623

16.262482

14.683497

15.827682

16.033751

15.8579

16.669771

15.697566

15.76362

16.095631

15.518384

15.872967

15.991636

16.213068

16.367601

1707.05070

Dine Ousmane Samary

Ezinvi Baloitcha, Vincent Lahoche, Dine Ousmane Samary

Energy momentum tensor for translation invariant renormalizable noncommutative field theory

12 pages

Eur. Phys. J. Plus (2018) 133: 515

10.1140/epjp/i2018-12339-8

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In this paper, we derive the energy momentum tensor for the translation invariant noncommutative Tanasa scalar field model. The Wilson regularization procedure is used to improve this tensor and the local conservation property is recovered. The same question is addressed in the case where the Moyal star product is deformed including the tetrad fields. It provides with an extension of the recent work [J. Phys. A: Math. Theor. 43 (2010) 155202], regarding the computation and properties of the Noether currents to the renormalizable models.

[ { "created": "Mon, 17 Jul 2017 10:05:44 GMT", "version": "v1" }, { "created": "Tue, 20 Nov 2018 09:33:23 GMT", "version": "v2" } ]

2018-12-21

[ [ "Baloitcha", "Ezinvi", "" ], [ "Lahoche", "Vincent", "" ], [ "Samary", "Dine Ousmane", "" ] ]

In this paper, we derive the energy momentum tensor for the translation invariant noncommutative Tanasa scalar field model. The Wilson regularization procedure is used to improve this tensor and the local conservation property is recovered. The same question is addressed in the case where the Moyal star product is deformed including the tetrad fields. It provides with an extension of the recent work [J. Phys. A: Math. Theor. 43 (2010) 155202], regarding the computation and properties of the Noether currents to the renormalizable models.

14.070477

14.323776

14.695103

13.346288

13.375282

14.353696

13.842945

13.749709

13.256016

16.077955

12.887428

12.748539

13.281068

12.996442

12.720827

13.122168

12.300791

12.690262

12.420886

12.904323

12.614585

hep-th/9607040

Eduardo Marino

R.Banerjee and E.C.Marino

Explicit Bosonization of the Massive Thirring Model in 3+1 Dimensions

Latex, 7 pages

Phys.Rev. D56 (1997) 3763-3765

10.1103/PhysRevD.56.3763

null

hep-th

null

We bosonize the Massive Thirring Model in 3+1D for small coupling constant and arbitrary mass. The bosonized action is explicitly obtained both in terms of a Kalb-Ramond tensor field as well as in terms of a dual vector field. An exact bosonization formula for the current is derived. The small and large mass limits of the bosonized theory are examined in both the direct and dual forms. We finally obtain the exact bosonization of the free fermion with an arbitrary mass.

[ { "created": "Thu, 4 Jul 1996 15:47:04 GMT", "version": "v1" } ]

2009-10-30

[ [ "Banerjee", "R.", "" ], [ "Marino", "E. C.", "" ] ]

We bosonize the Massive Thirring Model in 3+1D for small coupling constant and arbitrary mass. The bosonized action is explicitly obtained both in terms of a Kalb-Ramond tensor field as well as in terms of a dual vector field. An exact bosonization formula for the current is derived. The small and large mass limits of the bosonized theory are examined in both the direct and dual forms. We finally obtain the exact bosonization of the free fermion with an arbitrary mass.

8.455548

6.714948

7.38695

6.58132

7.198394

6.730604

6.600227

6.589908

6.53749

7.295497

6.637928

7.266239

7.231332

7.257274

7.147764

7.297871

7.171097

7.051861

6.810728

7.375326

7.181597

0809.4952

Gregory Korchemsky

Z.Bajnok, J.Balog, B.Basso, G.P.Korchemsky and L.Palla

Scaling function in AdS/CFT from the O(6) sigma model

25 pages, 2 figures

Nucl.Phys.B811:438-462,2009

10.1016/j.nuclphysb.2008.11.023

LPT-Orsay-08-76, ITP-Budapest Report No. 642

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Asymptotic behavior of the anomalous dimensions of Wilson operators with high spin and twist is governed in planar N=4 SYM theory by the scaling function which coincides at strong coupling with the energy density of a two-dimensional bosonic O(6) sigma model. We calculate this function by combining the two-loop correction to the energy density for the O(n) model with two-loop correction to the mass gap determined by the all-loop Bethe ansatz in N=4 SYM theory. The result is in agreement with the prediction coming from the thermodynamical limit of the quantum string Bethe ansatz equations, but disagrees with the two-loop stringy corrections to the folded spinning string solution.

[ { "created": "Mon, 29 Sep 2008 12:24:26 GMT", "version": "v1" } ]

2009-02-02

[ [ "Bajnok", "Z.", "" ], [ "Balog", "J.", "" ], [ "Basso", "B.", "" ], [ "Korchemsky", "G. P.", "" ], [ "Palla", "L.", "" ] ]

Asymptotic behavior of the anomalous dimensions of Wilson operators with high spin and twist is governed in planar N=4 SYM theory by the scaling function which coincides at strong coupling with the energy density of a two-dimensional bosonic O(6) sigma model. We calculate this function by combining the two-loop correction to the energy density for the O(n) model with two-loop correction to the mass gap determined by the all-loop Bethe ansatz in N=4 SYM theory. The result is in agreement with the prediction coming from the thermodynamical limit of the quantum string Bethe ansatz equations, but disagrees with the two-loop stringy corrections to the folded spinning string solution.

7.776378

6.678688

8.113751

6.161553

6.946194

6.46027

6.849659

6.727156

6.704735

10.863853

6.732542

6.959055

7.672657

7.103071

6.858068

6.951982

6.93908

7.186393

6.861338

7.876297

7.042754

1912.06261

Kei-Ichi Kondo

Kei-Ichi Kondo, Yui Hayashi, Ryutaro Matsudo, Yutaro Suda and Masaki Watanabe

Complex poles, spectral function and reflection positivity violation of Yang-Mills theory

1+6 pages, plenary talk presented at Light Cone 2019 - QCD on the light cone: from hadrons to heavy ions, 16-20 September 2019 held at Ecole Polytechnique, Palaiseau, France

null

CHIBA-EP-243

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We discuss the analytic continuation of the gluon propagator from the Euclidean region to the complex squared-momentum plane towards the Minkowski region from a viewpoint of gluon confinement. For this purpose, we investigate the massive Yang-Mills model with one-loop quantum corrections, which is to be identified with a low-energy effective theory of the Yang-Mills theory in the sense that the confining decoupling solution for the Euclidean gluon and ghost propagators of the Yang-Mills theory in the Landau gauge obtained by numerical simulations on the lattice are reproduced with good accuracy from the massive Yang-Mills model by taking into account one-loop quantum corrections. We show that the gluon propagator in the massive Yang-Mills model has a pair of complex conjugate poles or "tachyonic" poles of multiplicity two, in accordance with the fact that the gluon field has a negative spectral function, while the ghost propagator has at most one "unphysical" pole. These results are consistent with general relationships between the number of complex poles of a propagator and the sign of the spectral function originating from the branch cut in the Minkowski region under some assumptions on the asymptotic behaviors of the propagator. Consequently, we give an analytical proof for violation of the reflection positivity as a necessary condition for gluon confinement for any choice of the parameters in the massive Yang-Mills model, including the physical point. Moreover, the complex structure of the propagator enables us to explain why the gluon propagator in the Euclidean region is well described by the Gribov-Stingl form.

[ { "created": "Thu, 12 Dec 2019 23:15:28 GMT", "version": "v1" } ]

2019-12-16

[ [ "Kondo", "Kei-Ichi", "" ], [ "Hayashi", "Yui", "" ], [ "Matsudo", "Ryutaro", "" ], [ "Suda", "Yutaro", "" ], [ "Watanabe", "Masaki", "" ] ]

We discuss the analytic continuation of the gluon propagator from the Euclidean region to the complex squared-momentum plane towards the Minkowski region from a viewpoint of gluon confinement. For this purpose, we investigate the massive Yang-Mills model with one-loop quantum corrections, which is to be identified with a low-energy effective theory of the Yang-Mills theory in the sense that the confining decoupling solution for the Euclidean gluon and ghost propagators of the Yang-Mills theory in the Landau gauge obtained by numerical simulations on the lattice are reproduced with good accuracy from the massive Yang-Mills model by taking into account one-loop quantum corrections. We show that the gluon propagator in the massive Yang-Mills model has a pair of complex conjugate poles or "tachyonic" poles of multiplicity two, in accordance with the fact that the gluon field has a negative spectral function, while the ghost propagator has at most one "unphysical" pole. These results are consistent with general relationships between the number of complex poles of a propagator and the sign of the spectral function originating from the branch cut in the Minkowski region under some assumptions on the asymptotic behaviors of the propagator. Consequently, we give an analytical proof for violation of the reflection positivity as a necessary condition for gluon confinement for any choice of the parameters in the massive Yang-Mills model, including the physical point. Moreover, the complex structure of the propagator enables us to explain why the gluon propagator in the Euclidean region is well described by the Gribov-Stingl form.

5.69424

5.452534

6.006563

5.390914

5.557208

5.529646

5.60791

5.266643

5.252401

6.921809

5.494771

5.558938

5.91683

5.706933

5.671793

5.782561

5.649807

5.590375

5.512825

5.790991

5.55781

1510.03407

Akane Oikawa

Hiroyuki Abe, Akane Oikawa, and Hajime Otsuka

Wavefunctions on magnetized branes in the conifold

38 pages, 2 figures

null

10.1007/JHEP07(2016)054

WU-HEP-15-12

hep-th hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study wavefunctions on D$7$-branes with magnetic fluxes in the conifold. Since some supersymmetric embeddings of D-branes on the $AdS_5\times T^{1,1}$ geometry are known, we consider one of the embeddings, especially the spacetime filling D$7$-branes in which (a part of) the standard model is expected to be realized. The explicit form of induced metric on the D$7$-branes allows us to solve the Laplace and Dirac equations to evaluate matter wavefunctions in extra dimensions analytically. We find that the zero-mode wavefunctions can be localized depending on the configuration of magnetic fluxes on D$7$-branes, and show some phenomenological aspects.

[ { "created": "Mon, 12 Oct 2015 19:40:11 GMT", "version": "v1" } ]

2016-08-03

[ [ "Abe", "Hiroyuki", "" ], [ "Oikawa", "Akane", "" ], [ "Otsuka", "Hajime", "" ] ]

We study wavefunctions on D$7$-branes with magnetic fluxes in the conifold. Since some supersymmetric embeddings of D-branes on the $AdS_5\times T^{1,1}$ geometry are known, we consider one of the embeddings, especially the spacetime filling D$7$-branes in which (a part of) the standard model is expected to be realized. The explicit form of induced metric on the D$7$-branes allows us to solve the Laplace and Dirac equations to evaluate matter wavefunctions in extra dimensions analytically. We find that the zero-mode wavefunctions can be localized depending on the configuration of magnetic fluxes on D$7$-branes, and show some phenomenological aspects.

7.355629

6.767707

6.427932

6.375758

6.827124

6.805625

6.975572

6.869952

6.218123

6.934552

6.584941

6.696709

6.667152

6.480251

6.65664

6.751781

6.574247

6.979978

6.650643

6.701711

6.598146

hep-th/0104196

A. Kapustnikov

A. Kapustnikov and A. Shcherbakov

Linear and nonlinear realizations of superbranes

8 pages, LaTeX + espcrc2.sty The talk given at the D. Volkov Memorial Conference SQFT, July, 25-29, 2000

Nucl.Phys.Proc.Suppl. 102 (2001) 42-49

10.1016/S0920-5632(01)01534-1

null

hep-th

null

The coordinate transformations which establish the direct relationship between the actions of linear and nonlinear realizations of supermembranes are proposed. It is shown that the Rocek-Tseytlin constraint known in the framework of the linear realization of the theory is simply equivalent to a limit of a "pure" nonlinear realization in which the field describing the massive mode of the supermembrane puts to zero.

[ { "created": "Mon, 23 Apr 2001 16:21:57 GMT", "version": "v1" }, { "created": "Tue, 24 Apr 2001 15:55:17 GMT", "version": "v2" } ]

2009-11-07

[ [ "Kapustnikov", "A.", "" ], [ "Shcherbakov", "A.", "" ] ]

The coordinate transformations which establish the direct relationship between the actions of linear and nonlinear realizations of supermembranes are proposed. It is shown that the Rocek-Tseytlin constraint known in the framework of the linear realization of the theory is simply equivalent to a limit of a "pure" nonlinear realization in which the field describing the massive mode of the supermembrane puts to zero.

19.181643

18.856703

22.073114

17.265125

17.911337

17.71607

18.304041

15.75615

18.033726

20.458565

18.52252

17.03063

17.163378

15.968232

17.491388

16.299631

16.93317

15.83791

17.586771

17.515955

15.545219

1312.3871

Peter Millington

Robert Dickinson, Jeff Forshaw, Peter Millington and Brian Cox

Manifest causality in quantum field theory with sources and detectors

24 pages; 6 figures; version accepted for publication in JHEP

JHEP06(2014)049

10.1007/JHEP06(2014)049

MAN/HEP/2013/25, IPPP/13/101, DCPT/13/202

hep-th hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We introduce a way to compute scattering amplitudes in quantum field theory including the effects of particle production and detection. Our amplitudes are manifestly causal, by which we mean that the source and detector are always linked by a connected chain of retarded propagators. We show how these amplitudes can be derived from a path integral, using the Schwinger-Keldysh "in-in" formalism. Focussing on phi-cubed theory, we confirm that our approach agrees with the standard S-matrix approach in the case of positive energy plane-wave scattering.

[ { "created": "Fri, 13 Dec 2013 16:50:58 GMT", "version": "v1" }, { "created": "Fri, 14 Feb 2014 15:02:09 GMT", "version": "v2" }, { "created": "Mon, 16 Jun 2014 16:30:25 GMT", "version": "v3" } ]

2014-06-17

[ [ "Dickinson", "Robert", "" ], [ "Forshaw", "Jeff", "" ], [ "Millington", "Peter", "" ], [ "Cox", "Brian", "" ] ]

We introduce a way to compute scattering amplitudes in quantum field theory including the effects of particle production and detection. Our amplitudes are manifestly causal, by which we mean that the source and detector are always linked by a connected chain of retarded propagators. We show how these amplitudes can be derived from a path integral, using the Schwinger-Keldysh "in-in" formalism. Focussing on phi-cubed theory, we confirm that our approach agrees with the standard S-matrix approach in the case of positive energy plane-wave scattering.

7.46468

6.965318

7.502875

6.415181

7.301812

6.775408

7.232454

6.581641

6.225388

7.643601

6.89017

6.886469

7.108768

6.854271

6.962831

7.185105

6.951047

6.949814

6.725014

7.118357

6.829903

hep-th/0407248

Eugen Radu

Eugen Radu and Elizabeth Winstanley

Static axially symmetric solutions of Einstein-Yang-Mills equations with a negative cosmological constant: black hole solutions

47 pages, 47 figures

Phys.Rev. D70 (2004) 084023

10.1103/PhysRevD.70.084023

null

hep-th gr-qc

null

We investigate static axially symmetric black hole solutions in a four-dimensional Einstein-Yang-Mills-SU(2) theory with a negative cosmological constant $\Lambda$. These solutions approach asymptotically the anti-de Sitter spacetime and possess a regular event horizon. A discussion of the main properties of the solutions and the differences with respect to the asymptotically flat case is presented. The mass of these configurations is computed by using a counterterm method. We note that the $\Lambda=-3$ configurations have an higher dimensional interpretation in context of $d=11$ supergravity. The existence of axially symmetric monopole and dyon solutions in a fixed Schwarzschild-anti-de Sitter background is also discussed. An exact solution of the Einstein-Yang-Mills equations is presented in Appendix.

[ { "created": "Wed, 28 Jul 2004 16:29:13 GMT", "version": "v1" }, { "created": "Tue, 7 Sep 2004 08:02:41 GMT", "version": "v2" } ]

2009-11-10

[ [ "Radu", "Eugen", "" ], [ "Winstanley", "Elizabeth", "" ] ]

We investigate static axially symmetric black hole solutions in a four-dimensional Einstein-Yang-Mills-SU(2) theory with a negative cosmological constant $\Lambda$. These solutions approach asymptotically the anti-de Sitter spacetime and possess a regular event horizon. A discussion of the main properties of the solutions and the differences with respect to the asymptotically flat case is presented. The mass of these configurations is computed by using a counterterm method. We note that the $\Lambda=-3$ configurations have an higher dimensional interpretation in context of $d=11$ supergravity. The existence of axially symmetric monopole and dyon solutions in a fixed Schwarzschild-anti-de Sitter background is also discussed. An exact solution of the Einstein-Yang-Mills equations is presented in Appendix.

5.673644

5.347659

5.136328

4.998431

5.519564

5.2399

5.007162

4.8302

5.37846

5.593097

5.439548

5.538605

5.375032

5.46488

5.482957

5.701673

5.450317

5.488879

5.491891

5.667932

5.531141

hep-th/0003083

Hugo Compean

H. Garcia-Compean, O. Obregon and C. Ramirez

Searching for S-duality in Gravitation

8+1 pages, LaTeX file, no figures. Invited talk at the `Third Workshop on Gravitation and Mathematical Physics', Leon Gto. Mexico

null

CINVESTAV-FIS 12/00

hep-th

null

We overview some attempts to find S-duality analogues of non-supersymmetric Yang-Mills theory, in the context of gravity theories. The case of MacDowell-Mansouri gauge theory of gravity is discussed. Three-dimensional dimensional reductions from the topological gravitational sector in four dimensions, enable to recuperate the 2+1 Chern-Simons gravity and the corresponding S-dual theory, from the notion of self-duality in the four-dimensional theory.

[ { "created": "Fri, 10 Mar 2000 21:07:39 GMT", "version": "v1" } ]

2007-05-23

[ [ "Garcia-Compean", "H.", "" ], [ "Obregon", "O.", "" ], [ "Ramirez", "C.", "" ] ]

We overview some attempts to find S-duality analogues of non-supersymmetric Yang-Mills theory, in the context of gravity theories. The case of MacDowell-Mansouri gauge theory of gravity is discussed. Three-dimensional dimensional reductions from the topological gravitational sector in four dimensions, enable to recuperate the 2+1 Chern-Simons gravity and the corresponding S-dual theory, from the notion of self-duality in the four-dimensional theory.

14.780312

12.805475

14.325388

12.735244

14.120287

13.224518

12.671859

12.384378

12.170972

14.044686

13.141557

12.887575

13.488686

13.283775

13.46302

13.727472

13.501423

13.299344

13.422411

13.235599

13.335709

hep-th/0001085

Theodore A. Jacobson

Ted Jacobson

Trans-Planckian redshifts and the substance of the space-time river

18 pages, to appear in Progress of Theoretical Physics Supplement, Proceedings of Yukawa International Seminar 1999; typos corrected

Prog.Theor.Phys.Suppl.136:1-17,1999

10.1143/PTPS.136.1

null

hep-th cond-mat gr-qc

null

Trans-Planckian redshifts in cosmology and outside black holes may provide windows on a hypothetical short distance cutoff on the fundamental degrees of freedom. In cosmology, such a cutoff seems to require a growing Hilbert space, but for black holes, Unruh's sonic analogy has given rise to both field theoretic and lattice models demonstrating how such a cutoff in a fixed Hilbert space might be compatible with a low energy effective quantum field theory of the Hawking effect. In the lattice case, the outgoing modes arise via a Bloch oscillation from ingoing modes. A short distance cutoff on degrees of freedom is incompatible with local Lorentz invariance, but may nevertheless be compatible with general covariance if the preferred frame is defined non-locally by the cosmological background. Pursuing these ideas in a different direction, condensed matter analogs may eventually allow for laboratory observations of the Hawking effect. This paper introduces and gives a fairly complete but brief review of the work that has been done in these areas, and tries to point the way to some future directions.

[ { "created": "Thu, 13 Jan 2000 23:55:48 GMT", "version": "v1" }, { "created": "Wed, 16 Feb 2000 23:37:34 GMT", "version": "v2" } ]

2008-11-26

[ [ "Jacobson", "Ted", "" ] ]

Trans-Planckian redshifts in cosmology and outside black holes may provide windows on a hypothetical short distance cutoff on the fundamental degrees of freedom. In cosmology, such a cutoff seems to require a growing Hilbert space, but for black holes, Unruh's sonic analogy has given rise to both field theoretic and lattice models demonstrating how such a cutoff in a fixed Hilbert space might be compatible with a low energy effective quantum field theory of the Hawking effect. In the lattice case, the outgoing modes arise via a Bloch oscillation from ingoing modes. A short distance cutoff on degrees of freedom is incompatible with local Lorentz invariance, but may nevertheless be compatible with general covariance if the preferred frame is defined non-locally by the cosmological background. Pursuing these ideas in a different direction, condensed matter analogs may eventually allow for laboratory observations of the Hawking effect. This paper introduces and gives a fairly complete but brief review of the work that has been done in these areas, and tries to point the way to some future directions.

12.339303

13.994425

11.856761

11.801633

12.147556

13.224023

13.097897

12.779846

11.789509

12.700234

12.645608

11.206047

12.051828

11.564852

11.621494

11.250927

11.578577

11.600391

11.573761

11.781324

12.038488

hep-th/0507235

Lee Smolin

The case for background independence

Latex, 46 pages, no figures

null

hep-th

null

The aim of this paper is to explain carefully the arguments behind the assertion that the correct quantum theory of gravity must be background independent. We begin by recounting how the debate over whether quantum gravity must be background independent is a continuation of a long-standing argument in the history of physics and philosophy over whether space and time are relational or absolute. This leads to a careful statement of what physicists mean when we speak of background independence. Given this we can characterize the precise sense in which general relativity is a background independent theory. The leading background independent approaches to quantum gravity are then discussed, including causal set models, loop quantum gravity and dynamical triangulations and their main achievements are summarized along with the problems that remain open. Some first attempts to cast string/M theory into a background independent formulation are also mentioned. The relational/absolute debate has implications also for other issues such as unification and how the parameters of the standard models of physics and cosmology are to be explained. The recent issues concerning the string theory landscape are reviewed and it is argued that they can only be resolved within the context of a background independent formulation. Finally, we review some recent proposals to make quantum theory more relational.

[ { "created": "Mon, 25 Jul 2005 15:47:31 GMT", "version": "v1" } ]

2007-05-23

[ [ "Smolin", "Lee", "" ] ]

The aim of this paper is to explain carefully the arguments behind the assertion that the correct quantum theory of gravity must be background independent. We begin by recounting how the debate over whether quantum gravity must be background independent is a continuation of a long-standing argument in the history of physics and philosophy over whether space and time are relational or absolute. This leads to a careful statement of what physicists mean when we speak of background independence. Given this we can characterize the precise sense in which general relativity is a background independent theory. The leading background independent approaches to quantum gravity are then discussed, including causal set models, loop quantum gravity and dynamical triangulations and their main achievements are summarized along with the problems that remain open. Some first attempts to cast string/M theory into a background independent formulation are also mentioned. The relational/absolute debate has implications also for other issues such as unification and how the parameters of the standard models of physics and cosmology are to be explained. The recent issues concerning the string theory landscape are reviewed and it is argued that they can only be resolved within the context of a background independent formulation. Finally, we review some recent proposals to make quantum theory more relational.

7.805217

8.879899

8.970944

8.289386

8.571939

8.664135

8.487133

8.733925

8.094384

9.042871

7.914001

8.011139

8.109486

8.036737

8.163779

8.158443

8.549621

8.074535

8.140212

8.159638

7.964498

0804.0899

Francesco Nitti

U.Gursoy, E.Kiritsis, L. Mazzanti, F.Nitti

Deconfinement and Gluon Plasma Dynamics in Improved Holographic QCD

LaTeX, 15 pages, 6 eps figures. Added comments and references; corrected misprint in eq. (3.5). A slightly shorter version of this work will appear in Physical Review Letters

Phys.Rev.Lett.101:181601,2008

10.1103/PhysRevLett.101.181601

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The finite temperature physics of the pure glue sector in the improved holographic QCD model of arXiv:0707.1324 and arXiv:0707.1349 is addressed. The thermodynamics of 5D dilaton gravity duals to confining gauge theories is analyzed. We show that they exhibit a first order Hawking-Page type phase transition. In the explicit background of arXiv:0707.1349, we find T_c = 235 MeV. The temperature dependence of various thermodynamic quantities such as the pressure, entropy and speed of sound is calculated. The results show a good agreement with the corresponding lattice data.

[ { "created": "Mon, 7 Apr 2008 17:25:24 GMT", "version": "v1" }, { "created": "Tue, 8 Apr 2008 15:15:26 GMT", "version": "v2" }, { "created": "Sat, 25 Oct 2008 08:52:55 GMT", "version": "v3" } ]

2008-10-31

[ [ "Gursoy", "U.", "" ], [ "Kiritsis", "E.", "" ], [ "Mazzanti", "L.", "" ], [ "Nitti", "F.", "" ] ]

The finite temperature physics of the pure glue sector in the improved holographic QCD model of arXiv:0707.1324 and arXiv:0707.1349 is addressed. The thermodynamics of 5D dilaton gravity duals to confining gauge theories is analyzed. We show that they exhibit a first order Hawking-Page type phase transition. In the explicit background of arXiv:0707.1349, we find T_c = 235 MeV. The temperature dependence of various thermodynamic quantities such as the pressure, entropy and speed of sound is calculated. The results show a good agreement with the corresponding lattice data.

6.808204

6.028995

6.616545

5.532151

6.284195

5.747297

6.197791

6.073333

5.33146

7.181501

6.09733

6.102735

6.174988

5.756386

5.953596

5.938642

6.020423

5.980732

5.841882

6.319393

6.167339

1505.02483

Rodrigo Bufalo

R. Bufalo

Born-Infeld electrodynamics in very special relativity

14 pages; to appear in PLB

Phys. Lett. B 746, 251 (2015)

10.1016/j.physletb.2015.05.014

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In this work we discuss the properties of a modified Born-Infeld electrodynamics in the framework of very special relativity (VSR). This proposal allows us to study VSR mass effects in a gauge-invariant context of nonlinear electrodynamics. It is analyzed in detail the electrostatic solutions for two different cases, as well as the VSR dispersion relations are found to be of a \emph{massive} particle with nonlinear modifications. Afterwards, the field energy and static potential are computed, in the latter we find from the VSR contribution a novel long-range $1/L^3$ correction to the Coulomb potential, in contrast to the $1/L^5$ correction of the usual Born-Infeld theory.

[ { "created": "Mon, 11 May 2015 05:17:25 GMT", "version": "v1" } ]

2015-05-18

[ [ "Bufalo", "R.", "" ] ]

In this work we discuss the properties of a modified Born-Infeld electrodynamics in the framework of very special relativity (VSR). This proposal allows us to study VSR mass effects in a gauge-invariant context of nonlinear electrodynamics. It is analyzed in detail the electrostatic solutions for two different cases, as well as the VSR dispersion relations are found to be of a \emph{massive} particle with nonlinear modifications. Afterwards, the field energy and static potential are computed, in the latter we find from the VSR contribution a novel long-range $1/L^3$ correction to the Coulomb potential, in contrast to the $1/L^5$ correction of the usual Born-Infeld theory.

9.860861

9.228487

9.108391

8.325098

8.410845

8.173856

8.767741

8.228151

8.364877

10.366179

8.843346

8.871081

8.832952

8.769693

8.834367

8.75242

8.759122

8.801918

8.788477

9.048722

9.081525

2207.10989

Luis M. Nieto

A. Alonso-Izquierdo, D. Migu\'elez-Caballero, L. M. Nieto, and J. Queiroga-Nunes

Wobbling kinks in a two-component scalar field theory: Interaction between shape modes

28 pages, 11 figures

null

10.1016/j.physd.2022.133590

null

hep-th math-ph math.MP nlin.PS

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In this paper the interaction between the shape modes of the wobbling kinks arising in the family of two-component MSTB scalar field theory models is studied. The spectrum of the second order small kink fluctuation in this model has two localized vibrational modes associated to longitudinal and orthogonal fluctuations with respect to the kink orbit. It has been found that the excitation of the orthogonal shape mode immediately triggers the longitudinal one. In the first component channel the kink emits radiation with twice the orthogonal wobbling frequency (not the longitudinal one as happens in the $\phi^4$-model). The radiation emitted in the second component has two dominant frequencies: one is three times the frequency of the orthogonal wobbling mode and the other is the sum of the frequencies of the longitudinal and orthogonal vibration modes. This feature is explained analytically using perturbation expansion theories.

[ { "created": "Fri, 22 Jul 2022 10:11:46 GMT", "version": "v1" } ]

2022-11-30

[ [ "Alonso-Izquierdo", "A.", "" ], [ "Miguélez-Caballero", "D.", "" ], [ "Nieto", "L. M.", "" ], [ "Queiroga-Nunes", "J.", "" ] ]

In this paper the interaction between the shape modes of the wobbling kinks arising in the family of two-component MSTB scalar field theory models is studied. The spectrum of the second order small kink fluctuation in this model has two localized vibrational modes associated to longitudinal and orthogonal fluctuations with respect to the kink orbit. It has been found that the excitation of the orthogonal shape mode immediately triggers the longitudinal one. In the first component channel the kink emits radiation with twice the orthogonal wobbling frequency (not the longitudinal one as happens in the $\phi^4$-model). The radiation emitted in the second component has two dominant frequencies: one is three times the frequency of the orthogonal wobbling mode and the other is the sum of the frequencies of the longitudinal and orthogonal vibration modes. This feature is explained analytically using perturbation expansion theories.

12.407992

11.529029

12.838675

10.772402

11.956335

10.745233

11.906252

11.927462

10.761574

13.809088

11.901388

10.95453

11.493072

11.048734

11.462625

11.592863

11.529329

11.320333

10.90343

11.718011

11.442714

hep-th/9803203

Gary Gibbons

G W Gibbons

Branes as BIons

Latex, 9 pages, no figures

Class.Quant.Grav.16:1471-1477,1999

10.1088/0264-9381/16/5/301

null

hep-th

null

A BIon may be defined as a finite energy solution of a non-linear field theory with distributional sources. By contrast a soliton is usually defined to have no sources. I show how harmonic coordinates map the exteriors of the topologically and causally non-trivial spacetimes of extreme p-branes to BIonic solutions of the Einstein equations in a topologically trivial spacetime in which the combined gravitational and matter energy momentum is located on distributional sources. As a consequence the tension of BPS p-branes is classically unrenormalized. The result holds equally for spacetimes with singularities and for those, like the M-5-brane, which are everywhere singularity free.

[ { "created": "Wed, 25 Mar 1998 14:07:27 GMT", "version": "v1" } ]

2009-10-07

[ [ "Gibbons", "G W", "" ] ]

A BIon may be defined as a finite energy solution of a non-linear field theory with distributional sources. By contrast a soliton is usually defined to have no sources. I show how harmonic coordinates map the exteriors of the topologically and causally non-trivial spacetimes of extreme p-branes to BIonic solutions of the Einstein equations in a topologically trivial spacetime in which the combined gravitational and matter energy momentum is located on distributional sources. As a consequence the tension of BPS p-branes is classically unrenormalized. The result holds equally for spacetimes with singularities and for those, like the M-5-brane, which are everywhere singularity free.

15.344714

15.097016

14.766563

12.56002

14.405161

13.664131

16.194574

13.672314

13.79528

16.379871

13.261611

12.759171

13.432912

12.719905

13.2959

13.43754

13.857917

12.918936

13.257689

14.434924

12.483582

1401.5414

A. Yu. Petrov

F. S. Gama, M. Gomes, J. R. Nascimento, A. Yu. Petrov, A. J. da Silva

On the one-loop effective potential in the higher-derivative four-dimensional chiral superfield theory with a nonconventional kinetic term

9 pages

Phys. Lett. B733, 247 (2014)

10.1016/j.physletb.2014.04.054

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We explicitly calculate the one-loop effective potential for a higher-derivative four-dimensional chiral superfield theory with a nonconventional kinetic term. We consider the cases of minimal and nonminimal general Lagrangians. In particular, we find that in the minimal case the divergent part of the one-loop effective potential vanishes by reason of the chirality.

[ { "created": "Tue, 21 Jan 2014 18:23:13 GMT", "version": "v1" } ]

2014-05-15

[ [ "Gama", "F. S.", "" ], [ "Gomes", "M.", "" ], [ "Nascimento", "J. R.", "" ], [ "Petrov", "A. Yu.", "" ], [ "da Silva", "A. J.", "" ] ]

We explicitly calculate the one-loop effective potential for a higher-derivative four-dimensional chiral superfield theory with a nonconventional kinetic term. We consider the cases of minimal and nonminimal general Lagrangians. In particular, we find that in the minimal case the divergent part of the one-loop effective potential vanishes by reason of the chirality.

8.064083

7.447183

8.746436

7.176299

7.168664

7.44045

7.998166

7.715231

7.369432

9.094694

7.424578

7.272956

8.514567

7.616106

7.638542

7.445582

7.272668

7.201709

7.656894

8.365166

6.969643

2011.13981

Soumyadeep Chaudhuri

Soumyadeep Chaudhuri, Changha Choi, Eliezer Rabinovici

Thermal order in large N conformal gauge theories

116 pages, v4: typos have been corrected, comments and references have been added, version matches with the published one

null

10.1007/JHEP04(2021)203

null

hep-th cond-mat.str-el hep-ph

http://creativecommons.org/licenses/by/4.0/

In this work we explore the possibility of spontaneous breaking of global symmetries at all nonzero temperatures for conformal field theories (CFTs) in $D = 4$ space-time dimensions. We show that such a symmetry-breaking indeed occurs in certain families of non-supersymmetric large $N$ gauge theories at a planar limit. We also show that this phenomenon is accompanied by the system remaining in a persistent Brout-Englert-Higgs (BEH) phase at any temperature. These analyses are motivated by the work done in arXiv:2005.03676 where symmetry-breaking was observed in all thermal states for certain CFTs in fractional dimensions. In our case, the theories demonstrating the above features have gauge groups which are specific products of $SO(N)$ in one family and $SU(N)$ in the other. Working in a perturbative regime at the $N\rightarrow\infty$ limit, we show that the beta functions in these theories yield circles of fixed points in the space of couplings. We explicitly check this structure up to two loops and then present a proof of its survival under all loop corrections. We show that under certain conditions, an interval on this circle of fixed points demonstrates both the spontaneous breaking of a global symmetry as well as a persistent BEH phase at all nonzero temperatures. The broken global symmetry is $\mathbb{Z}_2$ in one family of theories and $U(1)$ in the other. The corresponding order parameters are expectation values of the determinants of bifundamental scalar fields in these theories. We characterize these symmetries as baryon-like symmetries in the respective models.

[ { "created": "Fri, 27 Nov 2020 20:20:14 GMT", "version": "v1" }, { "created": "Tue, 12 Jan 2021 11:59:34 GMT", "version": "v2" }, { "created": "Wed, 24 Feb 2021 02:46:28 GMT", "version": "v3" }, { "created": "Tue, 20 Apr 2021 08:00:44 GMT", "version": "v4" } ]

2021-05-12

[ [ "Chaudhuri", "Soumyadeep", "" ], [ "Choi", "Changha", "" ], [ "Rabinovici", "Eliezer", "" ] ]

In this work we explore the possibility of spontaneous breaking of global symmetries at all nonzero temperatures for conformal field theories (CFTs) in $D = 4$ space-time dimensions. We show that such a symmetry-breaking indeed occurs in certain families of non-supersymmetric large $N$ gauge theories at a planar limit. We also show that this phenomenon is accompanied by the system remaining in a persistent Brout-Englert-Higgs (BEH) phase at any temperature. These analyses are motivated by the work done in arXiv:2005.03676 where symmetry-breaking was observed in all thermal states for certain CFTs in fractional dimensions. In our case, the theories demonstrating the above features have gauge groups which are specific products of $SO(N)$ in one family and $SU(N)$ in the other. Working in a perturbative regime at the $N\rightarrow\infty$ limit, we show that the beta functions in these theories yield circles of fixed points in the space of couplings. We explicitly check this structure up to two loops and then present a proof of its survival under all loop corrections. We show that under certain conditions, an interval on this circle of fixed points demonstrates both the spontaneous breaking of a global symmetry as well as a persistent BEH phase at all nonzero temperatures. The broken global symmetry is $\mathbb{Z}_2$ in one family of theories and $U(1)$ in the other. The corresponding order parameters are expectation values of the determinants of bifundamental scalar fields in these theories. We characterize these symmetries as baryon-like symmetries in the respective models.

6.960455

7.029261

7.188385

6.884875

7.4542

7.337093

6.930197

7.095609

6.850387

7.470642

6.94592

6.630528

6.978027

6.783357

6.76564

6.721386

6.78959

6.694981

6.819806

7.1757

6.600337

2009.13137

Mikhail Goykhman

Mikhail Goykhman, Vladimir Rosenhaus, Michael Smolkin

The background field method and critical vector models

v2: references added (published version)

null

10.1007/JHEP02(2021)074

null

hep-th cond-mat.str-el

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We use the background field method to systematically derive CFT data for the critical $\phi^6$ vector model in three dimensions, and the Gross-Neveu model in dimensions $2\leq d \leq 4$. Specifically, we calculate the OPE coefficients and anomalous dimensions of various operators, up to next-to-leading order in the $1/N$ expansion.

[ { "created": "Mon, 28 Sep 2020 08:36:29 GMT", "version": "v1" }, { "created": "Wed, 24 Feb 2021 13:25:48 GMT", "version": "v2" } ]

2021-02-25

[ [ "Goykhman", "Mikhail", "" ], [ "Rosenhaus", "Vladimir", "" ], [ "Smolkin", "Michael", "" ] ]

We use the background field method to systematically derive CFT data for the critical $\phi^6$ vector model in three dimensions, and the Gross-Neveu model in dimensions $2\leq d \leq 4$. Specifically, we calculate the OPE coefficients and anomalous dimensions of various operators, up to next-to-leading order in the $1/N$ expansion.

4.931013

4.082417

5.517622

4.276221

4.279735

4.039787

4.111112

4.140041

4.174252

5.960639

4.245331

4.343887

4.930533

4.320711

4.164913

4.30807

4.166567

4.431611

4.320457

4.724934

4.315095

hep-th/0307116

Gernot Akemann

G. Akemann

Equivalence of Matrix Models for Complex QCD Dirac Spectra

13 pages, 4 figures, references added

Acta Phys.Polon. B34 (2003) 4653-4666

null

SPhT T03/103

hep-th hep-lat hep-ph

null

Two different matrix models for QCD with a non-vanishing quark chemical potential are shown to be equivalent by mapping the corresponding partition functions. The equivalence holds in the phase with broken chiral symmetry. It is exact in the limit of weak non-Hermiticity, where the chemical potential squared is rescaled with the volume. At strong non-Hermiticity it holds only for small chemical potential. The first model proposed by Stephanov is directly related to QCD and allows to analyze the QCD phase diagram. In the second model suggested by the author all microscopic spectral correlation functions of complex Dirac operators can be calculated in the broken phase. We briefly compare those predictions to complex Dirac eigenvalues from quenched QCD lattice simulations.

[ { "created": "Sat, 12 Jul 2003 13:56:28 GMT", "version": "v1" }, { "created": "Wed, 23 Jul 2003 09:53:42 GMT", "version": "v2" } ]

2007-05-23

[ [ "Akemann", "G.", "" ] ]

Two different matrix models for QCD with a non-vanishing quark chemical potential are shown to be equivalent by mapping the corresponding partition functions. The equivalence holds in the phase with broken chiral symmetry. It is exact in the limit of weak non-Hermiticity, where the chemical potential squared is rescaled with the volume. At strong non-Hermiticity it holds only for small chemical potential. The first model proposed by Stephanov is directly related to QCD and allows to analyze the QCD phase diagram. In the second model suggested by the author all microscopic spectral correlation functions of complex Dirac operators can be calculated in the broken phase. We briefly compare those predictions to complex Dirac eigenvalues from quenched QCD lattice simulations.

9.990823

9.899162

10.209637

8.631941

9.557592

9.174978

9.326765

8.941662

8.864938

11.344817

8.673762

9.016675

9.127362

9.093524

8.969323

9.101037

9.054996

9.370386

9.423018

10.063501

9.188558

hep-th/0010081

Henrique Boschi-Filho

C. P. Natividade, H. Boschi-Filho and L. V. Belvedere

BFFT formalism applied to the minimal chiral Schwinger model

11 Latex pages. Revised version: New section and more references included. To appear in MPLA

Mod.Phys.Lett. A19 (2004) 2957

10.1142/S0217732304014069

null

hep-th

null

We consider the minimal chiral Schwinger model, by embedding the gauge noninvariant formulation into a gauge theory following the Batalin-Fradkin-Fradkina-Tyutin point of view. Within the BFFT procedure, the second class constraints are converted into strongly involutive first-class ones, leading to an extended gauge invariant formulation. We also show that, like the standard chiral model, in the minimal chiral model the Wess-Zumino action can be obtained by performing a q-number gauge transformation into the effective gauge noninvariant action.

[ { "created": "Wed, 11 Oct 2000 13:53:00 GMT", "version": "v1" }, { "created": "Fri, 15 Dec 2000 19:05:44 GMT", "version": "v2" }, { "created": "Thu, 16 Sep 2004 14:15:52 GMT", "version": "v3" } ]

2007-05-23

[ [ "Natividade", "C. P.", "" ], [ "Boschi-Filho", "H.", "" ], [ "Belvedere", "L. V.", "" ] ]

We consider the minimal chiral Schwinger model, by embedding the gauge noninvariant formulation into a gauge theory following the Batalin-Fradkin-Fradkina-Tyutin point of view. Within the BFFT procedure, the second class constraints are converted into strongly involutive first-class ones, leading to an extended gauge invariant formulation. We also show that, like the standard chiral model, in the minimal chiral model the Wess-Zumino action can be obtained by performing a q-number gauge transformation into the effective gauge noninvariant action.

10.820919

10.068373

13.484734

9.873969

9.179768

9.357084

10.345385

9.816113

9.285351

13.446308

8.826733

9.355602

11.439847

9.926529

9.379488

9.824326

9.725833

9.325857

9.959841

10.091586

9.661292

1203.1837

Don N. Page

Normalized Observational Probabilities from Unnormalizable Quantum States or Phase-Space Distributions

15 pages, LaTeX

null

Alberta Thy 5-12

hep-th gr-qc quant-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Often it is assumed that a quantum state or a phase-space distribution must be normalizable. Here it is shown that even if it is not normalizable, one may be able to extract normalized observational probabilities from it.

[ { "created": "Thu, 8 Mar 2012 16:08:47 GMT", "version": "v1" } ]

2012-03-09

[ [ "Page", "Don N.", "" ] ]

Often it is assumed that a quantum state or a phase-space distribution must be normalizable. Here it is shown that even if it is not normalizable, one may be able to extract normalized observational probabilities from it.

13.568701

11.103526

11.64831

10.988308

11.755034

10.982369

12.084753

11.356622

10.932347

11.665861

11.344365

10.343537

11.28412

11.395465

10.71247

10.48089

10.297688

10.622512

11.05698

11.138162

11.640984

1301.4174

Hossein Yavartanoo

EVH Black Hole Solutions With Higher Derivative Corrections

15 pages

Eur.Phys.J. C72 (2012) 1911

10.1140/epjc/s10052-012-1911-7

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We analyze the effect of higher derivative corrections to the near horizon geometry of the extremal vanishing horizon (EVH) black hole solutions in four dimensions. We restrict ourselves to the Gauss-Bonnet correction with a dilation dependent coupling in an Einstein Maxwell dilaton theory. This action may represent the effective action as it arises in tree level heterotic string theory compactified to four dimensions or the K3 compactification of type II string theory. We show that EVH black holes, in this theory, develop an AdS3 throat in their near horizon geometry.

[ { "created": "Thu, 17 Jan 2013 18:00:37 GMT", "version": "v1" } ]

2013-01-18

[ [ "Yavartanoo", "Hossein", "" ] ]

We analyze the effect of higher derivative corrections to the near horizon geometry of the extremal vanishing horizon (EVH) black hole solutions in four dimensions. We restrict ourselves to the Gauss-Bonnet correction with a dilation dependent coupling in an Einstein Maxwell dilaton theory. This action may represent the effective action as it arises in tree level heterotic string theory compactified to four dimensions or the K3 compactification of type II string theory. We show that EVH black holes, in this theory, develop an AdS3 throat in their near horizon geometry.

7.838563

6.459621

8.477206

6.90068

7.487838

6.658734

7.020003

6.846714

6.930577

9.373178

6.702981

7.272408

7.607601

7.065351

7.204587

7.178145

7.13435

7.112473

7.100334

7.844555

7.126758

hep-th/9603087

Paul Townsend

G. Papadopoulos and P.K. Townsend

Intersecting M-branes

Derivation of an intersection rule added. Some additional refs. Version accepted for publication in PLB. Phyzzx macro

Phys.Lett.B380:273-279,1996

10.1016/0370-2693(96)00506-0

null

hep-th

null

We present the magnetic duals of G\"uven's electric-type solutions of D=11 supergravity preserving $1/4$ or $1/8$ of the D=11 supersymmetry. We interpret the electric solutions as $n$ orthogonal intersecting membranes and the magnetic solutions as $n$ orthogonal intersecting 5-branes, with $n=2,3$; these cases obey the general rule that $p$-branes can self-intersect on $(p-2)$-branes. On reduction to $D=4$ these solutions become electric or magnetic dilaton black holes with dilaton coupling constant $a=1$ (for $n=2$) or $a=1/\sqrt{3}$ (for $n=3$). We also discuss the reduction to D=10.

[ { "created": "Wed, 13 Mar 1996 19:23:33 GMT", "version": "v1" }, { "created": "Fri, 15 Mar 1996 18:44:03 GMT", "version": "v2" }, { "created": "Mon, 29 Apr 1996 15:05:17 GMT", "version": "v3" } ]

2009-10-09

[ [ "Papadopoulos", "G.", "" ], [ "Townsend", "P. K.", "" ] ]

We present the magnetic duals of G\"uven's electric-type solutions of D=11 supergravity preserving $1/4$ or $1/8$ of the D=11 supersymmetry. We interpret the electric solutions as $n$ orthogonal intersecting membranes and the magnetic solutions as $n$ orthogonal intersecting 5-branes, with $n=2,3$; these cases obey the general rule that $p$-branes can self-intersect on $(p-2)$-branes. On reduction to $D=4$ these solutions become electric or magnetic dilaton black holes with dilaton coupling constant $a=1$ (for $n=2$) or $a=1/\sqrt{3}$ (for $n=3$). We also discuss the reduction to D=10.

5.975709

5.702824

5.842565

5.434924

5.793724

5.324708

5.521102

5.407964

5.001358

6.149913

5.338274

5.511905

5.587124

5.810658

5.628101

5.637483

5.671299

5.615445

5.687107

5.543872

5.580962

2005.04178

Pedro Alvarez

Pedro D. Alvarez, Mauricio Valenzuela and Jorge Zanelli

Chiral gauge theory and gravity from unconventional supersymmetry

31 pages

null

10.1007/JHEP07(2020)205

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

From a gauge $SU(2,2|2)$ model with broken supersymmetry, we construct an action for $SU(2)\times U(1)$ Yang-Mills theory coupled to gravity and matter. The connection components for AdS boosts and special conformal translations are auxiliary fields and their fixing reduces the theory to two distintive sectors: a vector-like gauge theory with general relativity and a chiral gauge theory where gravity drops out. We discuss some of the main classical features of the model such as the predicted tree level gauge couplings, cosmological constant value, mass-like terms and the Einstein equations.

[ { "created": "Fri, 8 May 2020 17:16:35 GMT", "version": "v1" } ]

2020-08-26

[ [ "Alvarez", "Pedro D.", "" ], [ "Valenzuela", "Mauricio", "" ], [ "Zanelli", "Jorge", "" ] ]

From a gauge $SU(2,2|2)$ model with broken supersymmetry, we construct an action for $SU(2)\times U(1)$ Yang-Mills theory coupled to gravity and matter. The connection components for AdS boosts and special conformal translations are auxiliary fields and their fixing reduces the theory to two distintive sectors: a vector-like gauge theory with general relativity and a chiral gauge theory where gravity drops out. We discuss some of the main classical features of the model such as the predicted tree level gauge couplings, cosmological constant value, mass-like terms and the Einstein equations.

14.927015

14.860977

13.343526

13.023036

15.40933

14.187849

15.307699

14.058374

13.390029

16.080946

14.625547

14.013566

12.872813

13.81163

14.544948

14.081572

14.176823

14.156803

13.425355

13.729848

13.298462

hep-th/0103100

Yun S. Song

Jun Li, Yun S. Song

Open string instantons and relative stable morphisms

This is the version published by Geometry & Topology Monographs on 22 April 2006

Adv.Theor.Math.Phys.5:67-91,2002

10.2140/gtm.2006.8.49

null

hep-th math.AG

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We show how topological open string theory amplitudes can be computed by using relative stable morphisms in the algebraic category. We achieve our goal by explicitly working through an example which has been previously considered by Ooguri and Vafa from the point of view of physics. By using the method of virtual localization, we successfully reproduce their results for multiple covers of a holomorphic disc, whose boundary lies in a Lagrangian submanifold of a Calabi-Yau 3-fold, by Riemann surfaces with arbitrary genera and number of boundary components. In particular we show that in the case we consider there are no open string instantons with more than one boundary component ending on the Lagrangian submanifold.

[ { "created": "Tue, 13 Mar 2001 22:54:55 GMT", "version": "v1" }, { "created": "Thu, 26 Apr 2001 20:21:36 GMT", "version": "v2" }, { "created": "Tue, 24 Mar 2009 14:49:02 GMT", "version": "v3" }, { "created": "Wed, 20 Jul 2011 04:01:26 GMT", "version": "v4" } ]

2011-07-21

[ [ "Li", "Jun", "" ], [ "Song", "Yun S.", "" ] ]

We show how topological open string theory amplitudes can be computed by using relative stable morphisms in the algebraic category. We achieve our goal by explicitly working through an example which has been previously considered by Ooguri and Vafa from the point of view of physics. By using the method of virtual localization, we successfully reproduce their results for multiple covers of a holomorphic disc, whose boundary lies in a Lagrangian submanifold of a Calabi-Yau 3-fold, by Riemann surfaces with arbitrary genera and number of boundary components. In particular we show that in the case we consider there are no open string instantons with more than one boundary component ending on the Lagrangian submanifold.

7.102913

7.200742

9.227846

7.270368

7.489608

7.595143

7.64665

7.101213

6.980638

8.675986

6.987099

6.935744

8.034648

7.224585

7.183345

7.158917

7.03206

6.957909

6.676787

7.724905

6.914537

1903.03789

Stefan Groot Nibbelink

Nonexistence of locally but not globally supersymmetric orbifolds

8 pages LaTeX

null

10.1088/1742-6596/1586/1/012030

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Motivated by the smallness of the cosmological constant we investigate whether it is possible to have vanishing one-loop heterotic string partition functions for six-dimensional non-supersymmetric toroidal orbifolds. A straightforward way to realize this presents itself, when each orbifold sector separately preserves some Killing spinors, but none of them survives in all sectors combined. By applying some representation theory to the abstract finite point groups underlying toroidal orbifolds it turns out, that this is never possible. This leads to a nonexistence proof of locally but not globally supersymmetric orbifolds.

[ { "created": "Sat, 9 Mar 2019 12:22:37 GMT", "version": "v1" } ]

2020-12-30

[ [ "Nibbelink", "Stefan Groot", "" ] ]

Motivated by the smallness of the cosmological constant we investigate whether it is possible to have vanishing one-loop heterotic string partition functions for six-dimensional non-supersymmetric toroidal orbifolds. A straightforward way to realize this presents itself, when each orbifold sector separately preserves some Killing spinors, but none of them survives in all sectors combined. By applying some representation theory to the abstract finite point groups underlying toroidal orbifolds it turns out, that this is never possible. This leads to a nonexistence proof of locally but not globally supersymmetric orbifolds.

14.313875

13.317423

15.509489

12.646222

14.59411

15.551122

14.436386

14.762762

13.037214

15.527246

13.469879

12.576456

12.893396

12.594313

13.17596

13.108828

13.092748

13.033957

13.443696

13.515243

12.628018

hep-th/0506110

David Mateos

Roberto Emparan and David Mateos

Oscillator Level for Black Holes and Black Rings

14 pages; v2: Distinction between near-horizon and full BTZ metrics clarified, reference added

Class.Quant.Grav. 22 (2005) 3575-3584

10.1088/0264-9381/22/17/016

null

hep-th

null

Microscopic calculations of the Bekenstein-Hawking entropy of supersymmetric black holes in string theory are typically based on the application to a dual 2D CFT of Cardy's formula, S=2\pi \sqrt{c q /6}, where `c' is the central charge and `q' is the oscillator level. In the CFT, q is non-trivially related to the total momentum. We identify a Komar integral that equals q when evaluated at the horizon, and the total momentum when evaluated at asymptotic infinity, thus providing a gravitational dual of the CFT result.

[ { "created": "Tue, 14 Jun 2005 19:54:36 GMT", "version": "v1" }, { "created": "Wed, 29 Jun 2005 18:03:52 GMT", "version": "v2" } ]

2009-11-11

[ [ "Emparan", "Roberto", "" ], [ "Mateos", "David", "" ] ]

Microscopic calculations of the Bekenstein-Hawking entropy of supersymmetric black holes in string theory are typically based on the application to a dual 2D CFT of Cardy's formula, S=2\pi \sqrt{c q /6}, where `c' is the central charge and `q' is the oscillator level. In the CFT, q is non-trivially related to the total momentum. We identify a Komar integral that equals q when evaluated at the horizon, and the total momentum when evaluated at asymptotic infinity, thus providing a gravitational dual of the CFT result.

8.316376

7.422167

8.398737

7.636045

7.242727

7.791117

7.57257

7.368836

7.331059

9.791133

7.021356

7.087844

7.541519

6.987967

7.62407

7.037476

7.380994

6.820695

6.89586

8.197765

6.985081

1911.08601

Dine Ousmane Samary

Vincent Lahoche and Dine Ousmane Samary

Large-$d$ behavior of the Feynman amplitudes for a just-renormalizable tensorial group field theory

50 pages 5 figures

Phys. Rev. D 103, 085006 (2021)

10.1103/PhysRevD.103.085006

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

This paper aims at giving a novel approach to investigate the behavior of the renormalization group flow for tensorial group field theories to all orders of the perturbation theory. From an appropriate choice of the kinetic kernel, we build an infinite family of just-renormalizable models, for tensor fields with arbitrary rank $d$. Investigating the large $ d$ limit, we show that the self-energy melonic amplitude is decomposed as a product of loop-vertex functions, depending only on dimensionless mass. The corresponding melonic amplitudes may be mapped as trees in the so-called Hubbard-Stratonivich representation, and we show that only trees with edges of different colors survive in the large $d$-limit. These two key features allow us to resum the perturbative expansion for self-energy, providing an explicit expression for arbitrary external momenta in terms of Lambert function. Finally, inserting this resumed solution into the Callan-Symanzik equations, and taking into account the strong relation between two and four-point functions arising from melonic Ward-Takahashi identities, we then deduce an explicit expression for relevant and marginal $\beta$-functions, valid to all orders of the perturbative expansion. By investigating the solutions of the resulting flow, we conclude about the non-existence of any fixed point in the investigated region of the full phase space.

[ { "created": "Tue, 19 Nov 2019 21:42:40 GMT", "version": "v1" }, { "created": "Wed, 1 Mar 2023 19:41:23 GMT", "version": "v2" } ]

2023-03-03

[ [ "Lahoche", "Vincent", "" ], [ "Samary", "Dine Ousmane", "" ] ]

This paper aims at giving a novel approach to investigate the behavior of the renormalization group flow for tensorial group field theories to all orders of the perturbation theory. From an appropriate choice of the kinetic kernel, we build an infinite family of just-renormalizable models, for tensor fields with arbitrary rank $d$. Investigating the large $ d$ limit, we show that the self-energy melonic amplitude is decomposed as a product of loop-vertex functions, depending only on dimensionless mass. The corresponding melonic amplitudes may be mapped as trees in the so-called Hubbard-Stratonivich representation, and we show that only trees with edges of different colors survive in the large $d$-limit. These two key features allow us to resum the perturbative expansion for self-energy, providing an explicit expression for arbitrary external momenta in terms of Lambert function. Finally, inserting this resumed solution into the Callan-Symanzik equations, and taking into account the strong relation between two and four-point functions arising from melonic Ward-Takahashi identities, we then deduce an explicit expression for relevant and marginal $\beta$-functions, valid to all orders of the perturbative expansion. By investigating the solutions of the resulting flow, we conclude about the non-existence of any fixed point in the investigated region of the full phase space.

11.853059

11.720081

12.053245

10.335427

11.958085

11.943409

11.777392

11.259149

10.869395

13.214108

11.088553

11.250014

11.697534

11.318986

11.42451

11.574643

11.261291

11.02563

11.567724

11.99734

11.000494

hep-th/0510044

Eva Silverstein

Dimensional Mutation and Spacelike Singularities

15 pages, harvmac big. v2: 18 pages, harvmac big; added computation of density of states and modular invariance check, enhanced discussion of multiplicity of solutions all sharing the feature of increased density of states, added references

Phys.Rev.D73:086004,2006

10.1103/PhysRevD.73.086004

SU-ITP-05/26 SLAC-PUB-11510

hep-th

null

I argue that string theory compactified on a Riemann surface crosses over at small volume to a higher dimensional background of supercritical string theory. Several concrete measures of the count of degrees of freedom of the theory yield the consistent result that at finite volume, the effective dimensionality is increased by an amount of order $2h/V$ for a surface of genus $h$ and volume $V$ in string units. This arises in part from an exponentially growing density of states of winding modes supported by the fundamental group, and passes an interesting test of modular invariance. Further evidence for a plethora of examples with the spacelike singularity replaced by a higher dimensional phase arises from the fact that the sigma model on a Riemann surface can be naturally completed by many gauged linear sigma models, whose RG flows approximate time evolution in the full string backgrounds arising from this in the limit of large dimensionality. In recent examples of spacelike singularity resolution by tachyon condensation, the singularity is ultimately replaced by a phase with all modes becoming heavy and decoupling. In the present case, the opposite behavior ensues: more light degrees of freedom arise in the small radius regime. I comment on the emerging zoology of cosmological singularities that results.

[ { "created": "Wed, 5 Oct 2005 17:44:22 GMT", "version": "v1" }, { "created": "Mon, 27 Feb 2006 01:45:35 GMT", "version": "v2" } ]

2008-11-26

[ [ "Silverstein", "Eva", "" ] ]

I argue that string theory compactified on a Riemann surface crosses over at small volume to a higher dimensional background of supercritical string theory. Several concrete measures of the count of degrees of freedom of the theory yield the consistent result that at finite volume, the effective dimensionality is increased by an amount of order $2h/V$ for a surface of genus $h$ and volume $V$ in string units. This arises in part from an exponentially growing density of states of winding modes supported by the fundamental group, and passes an interesting test of modular invariance. Further evidence for a plethora of examples with the spacelike singularity replaced by a higher dimensional phase arises from the fact that the sigma model on a Riemann surface can be naturally completed by many gauged linear sigma models, whose RG flows approximate time evolution in the full string backgrounds arising from this in the limit of large dimensionality. In recent examples of spacelike singularity resolution by tachyon condensation, the singularity is ultimately replaced by a phase with all modes becoming heavy and decoupling. In the present case, the opposite behavior ensues: more light degrees of freedom arise in the small radius regime. I comment on the emerging zoology of cosmological singularities that results.

14.458919

15.784945

14.526158

13.993761

15.558869

15.522521

16.130419

14.391187

15.12816

16.476976

13.922494

13.554623

14.142629

13.682932

14.300211

13.908941

14.221934

13.591219

13.632642

14.234109

13.598405

hep-th/0507012

Stefan Zohren

R. Loll (U. Utrecht), W. Westra (U. Utrecht), S. Zohren (U. Utrecht, RWTH Aachen)

Taming the cosmological constant in 2D causal quantum gravity with topology change

19 pages, 4 figures. Comments on general covariance added. To be published in Nucl. Phys. B

Nucl.Phys. B751 (2006) 419-435

10.1016/j.nuclphysb.2006.06.033

null

hep-th

null

As shown in previous work, there is a well-defined nonperturbative gravitational path integral including an explicit sum over topologies in the setting of Causal Dynamical Triangulations in two dimensions. In this paper we derive a complete analytical solution of the quantum continuum dynamics of this model, obtained uniquely by means of a double-scaling limit. We show that the presence of infinitesimal wormholes leads to a decrease in the effective cosmological constant, reminiscent of the suppression mechanism considered by Coleman and others in the four-dimensional Euclidean path integral. Remarkably, in the continuum limit we obtain a finite spacetime density of microscopic wormholes without assuming fundamental discreteness. This shows that one can in principle make sense of a gravitational path integral which includes a sum over topologies, provided suitable causality restrictions are imposed on the path integral histories.

[ { "created": "Fri, 1 Jul 2005 13:50:51 GMT", "version": "v1" }, { "created": "Tue, 27 Jun 2006 11:53:43 GMT", "version": "v2" } ]

2009-11-11

[ [ "Loll", "R.", "", "U. Utrecht" ], [ "Westra", "W.", "", "U. Utrecht" ], [ "Zohren", "S.", "", "U. Utrecht,\n RWTH Aachen" ] ]

As shown in previous work, there is a well-defined nonperturbative gravitational path integral including an explicit sum over topologies in the setting of Causal Dynamical Triangulations in two dimensions. In this paper we derive a complete analytical solution of the quantum continuum dynamics of this model, obtained uniquely by means of a double-scaling limit. We show that the presence of infinitesimal wormholes leads to a decrease in the effective cosmological constant, reminiscent of the suppression mechanism considered by Coleman and others in the four-dimensional Euclidean path integral. Remarkably, in the continuum limit we obtain a finite spacetime density of microscopic wormholes without assuming fundamental discreteness. This shows that one can in principle make sense of a gravitational path integral which includes a sum over topologies, provided suitable causality restrictions are imposed on the path integral histories.

10.945418

9.332878

9.704174

8.967412

8.916963

9.7256

9.038772

8.818428

9.565015

11.274541

10.014944

9.717034

10.515612

10.015078

9.693294

9.91709

9.584698

9.666626

10.121064

10.189225

9.960332

0801.3949

Hugo Looyestijn

Hugo Looyestijn and Stefan Vandoren

On NS5-brane instantons and volume stabilization

29 pages, 3 figures; statements about fields G^a made more precise, added some clarifications, typos corrected

JHEP 0804:024,2008

10.1088/1126-6708/2008/04/024

null

hep-th

null

We study general aspects of NS5-brane instantons in relation to the stabilization of the volume modulus in Calabi-Yau compactifications of type II strings with fluxes, and their orientifold versions. These instantons correct the Kahler potential and generically yield significant contributions to the scalar potential at intermediate values of string coupling constant and volume. Under suitable conditions they yield uplifting terms that allow for meta--stable de Sitter vacua.

[ { "created": "Fri, 25 Jan 2008 14:46:40 GMT", "version": "v1" }, { "created": "Sun, 27 Jan 2008 08:29:48 GMT", "version": "v2" }, { "created": "Wed, 20 Feb 2008 08:32:35 GMT", "version": "v3" } ]

2014-11-18

[ [ "Looyestijn", "Hugo", "" ], [ "Vandoren", "Stefan", "" ] ]

We study general aspects of NS5-brane instantons in relation to the stabilization of the volume modulus in Calabi-Yau compactifications of type II strings with fluxes, and their orientifold versions. These instantons correct the Kahler potential and generically yield significant contributions to the scalar potential at intermediate values of string coupling constant and volume. Under suitable conditions they yield uplifting terms that allow for meta--stable de Sitter vacua.

10.487522

8.750745

10.838094

9.372846

10.371875

9.040642

10.112378

9.076685

9.10518

12.273939

9.037565

9.62437

10.656852

9.833962

9.689222

9.679126

10.142504

9.696735

9.465424

9.585653

9.510351

1408.0425

Alexey Milekhin

A. Gorsky, A. Milekhin

RG-Whitham dynamics and complex Hamiltonian systems

v3: 34 pages, several typos corrected, a reference added, to appear in Nuclear Physics B

null

10.1016/j.nuclphysb.2015.03.028

ITEP-TH-19/14

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Inspired by the Seiberg-Witten exact solution, we consider some aspects of the Hamiltonian dynamics with the complexified phase space focusing at the renormalization group(RG)-like Whitham behavior. We show that at the Argyres-Douglas(AD) point the number of degrees of freedom in Hamiltonian system effectively reduces and argue that anomalous dimensions at AD point coincide with the Berry indexes in classical mechanics. In the framework of Whitham dynamics AD point turns out to be a fixed point. We demonstrate that recently discovered Dunne-\"Unsal relation in quantum mechanics relevant for the exact quantization condition exactly coincides with the Whitham equation of motion in the Omega - deformed theory.

[ { "created": "Sat, 2 Aug 2014 21:40:57 GMT", "version": "v1" }, { "created": "Sun, 16 Nov 2014 16:28:10 GMT", "version": "v2" }, { "created": "Tue, 7 Apr 2015 12:20:22 GMT", "version": "v3" } ]

2015-04-08

[ [ "Gorsky", "A.", "" ], [ "Milekhin", "A.", "" ] ]

Inspired by the Seiberg-Witten exact solution, we consider some aspects of the Hamiltonian dynamics with the complexified phase space focusing at the renormalization group(RG)-like Whitham behavior. We show that at the Argyres-Douglas(AD) point the number of degrees of freedom in Hamiltonian system effectively reduces and argue that anomalous dimensions at AD point coincide with the Berry indexes in classical mechanics. In the framework of Whitham dynamics AD point turns out to be a fixed point. We demonstrate that recently discovered Dunne-\"Unsal relation in quantum mechanics relevant for the exact quantization condition exactly coincides with the Whitham equation of motion in the Omega - deformed theory.

12.797767

12.343113

14.754978

13.179824

12.710416

12.300056

12.412774

12.942653

13.163293

16.714102

12.624103

13.014736

14.113616

13.057265

13.027523

13.131396

12.481441

12.768438

13.159099

13.914451

12.791837

2210.11365

Teresa Bautista

Teresa Bautista and Lorenzo Casarin

ANEC on stress-tensor states in perturbative $\lambda\phi^4$ theory

25 pages

null

10.1007/JHEP01(2023)097

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We evaluate the Average Null Energy Condition (ANEC) on momentum eigenstates generated by the stress tensor in perturbative $\lambda \, \phi^4$ and general spacetime dimension. We first compute the norm of the stress-tensor state at second order in $\lambda$; as a by-product of the derivation we obtain the full expression for the stress tensor 2-point function at this order. We then compute the ANEC expectation value to first order in $\lambda$, which also depends on the coupling of the stress-tensor improvement term $\xi$. We study the bounds on these couplings that follow from the ANEC and unitarity at first order in perturbation theory. These bounds are stronger than unitarity in some regions of coupling space.

[ { "created": "Thu, 20 Oct 2022 15:58:16 GMT", "version": "v1" } ]

2023-02-08

[ [ "Bautista", "Teresa", "" ], [ "Casarin", "Lorenzo", "" ] ]

We evaluate the Average Null Energy Condition (ANEC) on momentum eigenstates generated by the stress tensor in perturbative $\lambda \, \phi^4$ and general spacetime dimension. We first compute the norm of the stress-tensor state at second order in $\lambda$; as a by-product of the derivation we obtain the full expression for the stress tensor 2-point function at this order. We then compute the ANEC expectation value to first order in $\lambda$, which also depends on the coupling of the stress-tensor improvement term $\xi$. We study the bounds on these couplings that follow from the ANEC and unitarity at first order in perturbation theory. These bounds are stronger than unitarity in some regions of coupling space.

8.117194

7.835174

8.362438

7.295605

8.573799

8.173445

8.046485

7.711649

7.502719

8.777004

7.599137

8.350603

7.999083

7.471744

7.554421

7.569173

7.770629

7.548983

7.708263

8.153772

7.627557

1303.0755

Eugenio R. Bezerra de Mello

E. R. Bezerra de Mello, E. R. Figueiredo Medeiros and A. A. Saharian

Fermionic vacuum polarization by a cosmic string in anti-de Sitter spacetime

Appendix is added about the boundary condition on AdS boundary, discussion and references are added related to AdS/CFT correspondence; accepted for publication in Classical and Quantum Gravity

null

10.1088/0264-9381/30/17/175001

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In this paper we investigate the fermionic condensate (FC) and the vacuum expectation value (VEV) of the energy-momentum tensor, associated with a massive fermionic field, induced by the presence of a cosmic string in the anti-de Sitter (AdS) spacetime. In order to develop this analysis we construct the complete set of normalized eigenfunctions in the corresponding spacetime. We consider a special case of boundary conditions on the AdS boundary, when the MIT bag boundary condition is imposed on the field operator at a finite distance from the boundary, which is then taken to zero. The FC and the VEV of the energy-momentum tensor are decomposed into the pure AdS and string-induced parts. Because the analysis of one-loop quantum effects in the AdS spacetime has been developed in the literature, here we are mainly interested to investigate the influence of the cosmic string on the VEVs. The string-induced part in the VEV of the energy-momentum tensor is diagonal and the axial and radial stresses are equal to the energy density. For points near the string, the effects of the curvature are subdominant and to leading order, the VEVs coincide with the corresponding VEVs for the cosmic string in Minkowski bulk. At large proper distances from the string, the decay of the VEVs show a power-law dependence of the distance for both massless and massive fields. This is in contrast to the case of Minkowski bulk where, for a massive field, the string-induced parts decay exponentially.

[ { "created": "Mon, 4 Mar 2013 16:58:04 GMT", "version": "v1" }, { "created": "Thu, 4 Jul 2013 13:53:57 GMT", "version": "v2" } ]

2015-06-15

[ [ "de Mello", "E. R. Bezerra", "" ], [ "Medeiros", "E. R. Figueiredo", "" ], [ "Saharian", "A. A.", "" ] ]

In this paper we investigate the fermionic condensate (FC) and the vacuum expectation value (VEV) of the energy-momentum tensor, associated with a massive fermionic field, induced by the presence of a cosmic string in the anti-de Sitter (AdS) spacetime. In order to develop this analysis we construct the complete set of normalized eigenfunctions in the corresponding spacetime. We consider a special case of boundary conditions on the AdS boundary, when the MIT bag boundary condition is imposed on the field operator at a finite distance from the boundary, which is then taken to zero. The FC and the VEV of the energy-momentum tensor are decomposed into the pure AdS and string-induced parts. Because the analysis of one-loop quantum effects in the AdS spacetime has been developed in the literature, here we are mainly interested to investigate the influence of the cosmic string on the VEVs. The string-induced part in the VEV of the energy-momentum tensor is diagonal and the axial and radial stresses are equal to the energy density. For points near the string, the effects of the curvature are subdominant and to leading order, the VEVs coincide with the corresponding VEVs for the cosmic string in Minkowski bulk. At large proper distances from the string, the decay of the VEVs show a power-law dependence of the distance for both massless and massive fields. This is in contrast to the case of Minkowski bulk where, for a massive field, the string-induced parts decay exponentially.

5.293553

3.502204

5.727004

3.97119

4.150821

3.732227

3.408424

3.856462

3.88374

5.869609

4.080458

4.603614

5.385835

4.886237

4.79632

4.662074

4.612204

4.623551

4.830587

5.458178

4.723438

2108.00016

William Biggs

William D. Biggs and Jorge E. Santos

Rotating black holes in Randall-Sundrum II braneworlds

6 pages, 4 figures

null

10.1103/PhysRevLett.128.021601

null

hep-th gr-qc hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We find rotating black hole solutions in the Randall-Sundrum II (RSII) model, by numerically solving a three-dimensional PDE problem using pseudospectral collocation methods. We compute the area and equatorial inner-most stable orbits of these solutions. For large black holes compared with the AdS length scale, $\ell$, the black hole exhibits four-dimensional behaviour, approaching the Kerr metric on the brane, whilst for small black holes, the solution tends instead towards a five-dimensional Myers-Perry black hole with a single non-zero rotation parameter aligned with the brane. This departure from exact four-dimensional gravity may lead to different phenomenological predictions for rotating black holes in the RSII model to those in standard four-dimensional general relativity. This letter provides a stepping stone for studying such modifications.

[ { "created": "Fri, 30 Jul 2021 18:00:02 GMT", "version": "v1" } ]

2022-01-19

[ [ "Biggs", "William D.", "" ], [ "Santos", "Jorge E.", "" ] ]

We find rotating black hole solutions in the Randall-Sundrum II (RSII) model, by numerically solving a three-dimensional PDE problem using pseudospectral collocation methods. We compute the area and equatorial inner-most stable orbits of these solutions. For large black holes compared with the AdS length scale, $\ell$, the black hole exhibits four-dimensional behaviour, approaching the Kerr metric on the brane, whilst for small black holes, the solution tends instead towards a five-dimensional Myers-Perry black hole with a single non-zero rotation parameter aligned with the brane. This departure from exact four-dimensional gravity may lead to different phenomenological predictions for rotating black holes in the RSII model to those in standard four-dimensional general relativity. This letter provides a stepping stone for studying such modifications.

9.49441

9.518579

9.711872

8.828803

9.954432

9.408277

9.392097

10.141274

8.977059

10.708073

9.122993

9.076736

9.470953

9.046002

9.063001

8.996229

8.855914

9.143757

9.347524

9.2678

9.280213

1707.05274

Eric R. Sharpe

W. Gu, E. Sharpe

A proposal for (0,2) mirrors of toric varieties

52 pages, LaTeX; v2: miscellaneous writing updates, typos fixed

JHEP 1711 (2017) 112

10.1007/JHEP11(2017)112

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In this paper we propose (0,2) mirrors for general Fano toric varieties with special tangent bundle deformations, corresponding to subsets of toric deformations. Our mirrors are of the form of (B/2-twisted) (0,2) Landau-Ginzburg models, matching Hori-Vafa mirrors on the (2,2) locus. We compare our predictions to (0,2) mirrors obtained by Chen et al for certain examples of toric varieties, and find that they match. We also briefly outline conjectures for analogous results for hypersurfaces in Fano toric varieties. Our methods utilize results from supersymmetric localization, which allows us to incidentally gain occasional further insights into GLSM-based (2,2) mirror constructions. For example, we explicitly verify that closed-string correlation functions of the original A-twisted GLSM match those of the mirror B-twisted Landau-Ginzburg model, as well as (0,2) deformations thereof.

[ { "created": "Mon, 17 Jul 2017 16:44:55 GMT", "version": "v1" }, { "created": "Thu, 26 Oct 2017 22:24:09 GMT", "version": "v2" } ]

2017-12-04

[ [ "Gu", "W.", "" ], [ "Sharpe", "E.", "" ] ]

In this paper we propose (0,2) mirrors for general Fano toric varieties with special tangent bundle deformations, corresponding to subsets of toric deformations. Our mirrors are of the form of (B/2-twisted) (0,2) Landau-Ginzburg models, matching Hori-Vafa mirrors on the (2,2) locus. We compare our predictions to (0,2) mirrors obtained by Chen et al for certain examples of toric varieties, and find that they match. We also briefly outline conjectures for analogous results for hypersurfaces in Fano toric varieties. Our methods utilize results from supersymmetric localization, which allows us to incidentally gain occasional further insights into GLSM-based (2,2) mirror constructions. For example, we explicitly verify that closed-string correlation functions of the original A-twisted GLSM match those of the mirror B-twisted Landau-Ginzburg model, as well as (0,2) deformations thereof.

10.394631

10.200109

13.215818

9.876782

9.533762

9.666631

9.780513

10.192741

9.733181

14.19413

10.272041

9.752322

11.203801

9.468161

9.674392

9.788196

9.374676

9.573467

9.519198

10.791023

9.181993

1408.4066

Jaime Besprosvany

J. Besprosvany and R. Romero

Representation of quantum field theory in an extended spin space and fermion mass hierarchy

23 pages, 5 tables. To be published in the Int. J. Mod. Phys. A

International Journal of Modern Physics A Vol. 29 (2014) 1450144 (17 pages)

10.1142/S0217751X14501449

null

hep-th hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We consider a matrix space based on the spin degree of freedom, describing both a Hilbert state space, and its corresponding symmetry operators. Under the requirement that the Lorentz symmetry be kept, at given dimension, scalar symmetries, and their representations are determined. Symmetries are flavor or gauge-like, with fixed chirality. After spin 0, 1/2, and 1 fields are obtained in this space, we construct associated interactive gauge-invariant renormalizable terms, showing their equivalence to a Lagrangian formulation, using as example the previously studied (5+1)-dimensional case, with many standard-model connections. At 7+1 dimensions, a pair of Higgs-like scalar Lagrangian is obtained naturally producing mass hierarchy within a fermion flavor doublet.

[ { "created": "Mon, 18 Aug 2014 17:25:23 GMT", "version": "v1" } ]

2015-12-17

[ [ "Besprosvany", "J.", "" ], [ "Romero", "R.", "" ] ]

We consider a matrix space based on the spin degree of freedom, describing both a Hilbert state space, and its corresponding symmetry operators. Under the requirement that the Lorentz symmetry be kept, at given dimension, scalar symmetries, and their representations are determined. Symmetries are flavor or gauge-like, with fixed chirality. After spin 0, 1/2, and 1 fields are obtained in this space, we construct associated interactive gauge-invariant renormalizable terms, showing their equivalence to a Lagrangian formulation, using as example the previously studied (5+1)-dimensional case, with many standard-model connections. At 7+1 dimensions, a pair of Higgs-like scalar Lagrangian is obtained naturally producing mass hierarchy within a fermion flavor doublet.

22.857252

25.21623

22.635998

22.980909

24.762327

25.224173

24.830994

25.663256

23.355209

25.110142

22.562395

23.1542

22.505024

23.097425

23.408916

22.823303

24.064058

22.883223

22.642529

22.975651

22.125973

hep-th/9702117

Dr Tsou Sheung Tsun

H. M. Chan (Rutherford Appleton Laboratory) and S. T. Tsou (Mathematical Institute, Oxford University)

't Hooft's Order-Disorder Parameters and the Dual Potential

Latex, 7 pages, no figures

Phys.Rev. D56 (1997) 3646-3649

10.1103/PhysRevD.56.3646

RAL-TR-97-014

hep-th

null

It is shown that the operator $B(C) = Tr [P \exp i \tilde{g} \oint \tilde{A}_i(x) dx^i]$ constructed with the recently derived dual potential $\tilde{A}(x)$ and a coupling $\tilde{g}$ related to $g$ by the Dirac quantization condition satisfies the correct commutation relation with the Wilson operator $Tr [P \exp ig \oint A_i(x) dx^i]$ as required by 't Hooft for his order-disorder parameters.

[ { "created": "Fri, 14 Feb 1997 16:12:52 GMT", "version": "v1" } ]

2016-09-06

[ [ "Chan", "H. M.", "", "Rutherford Appleton Laboratory" ], [ "Tsou", "S. T.", "", "Mathematical Institute, Oxford University" ] ]

It is shown that the operator $B(C) = Tr [P \exp i \tilde{g} \oint \tilde{A}_i(x) dx^i]$ constructed with the recently derived dual potential $\tilde{A}(x)$ and a coupling $\tilde{g}$ related to $g$ by the Dirac quantization condition satisfies the correct commutation relation with the Wilson operator $Tr [P \exp ig \oint A_i(x) dx^i]$ as required by 't Hooft for his order-disorder parameters.

8.141259

8.61147

7.736447

7.507468

7.616673

7.757233

7.60913

7.069659

6.843405

9.262865

6.904336

6.907188

6.551813

6.712957

6.862341

6.690992

6.755582

6.98677

6.775997

7.208739

6.895322

1612.05580

Robert Shrock

Gongjun Choi, Thomas Ryttov, and Robert Shrock

On the Question of a Possible Infrared Zero in the Beta Function of the Finite-$N$ Gross-Neveu Model

10 pages

Phys. Rev. D 95, 025012 (2017)

10.1103/PhysRevD.95.025012

YITP-SB-2016-50, CP3-ORIGINS-2016-055-DNRF90

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We investigate whether the beta function of the finite-$N$ Gross-Neveu model, as calculated up to the four-loop level, exhibits evidence for an infrared zero. As part of our analysis, we calculate and analyze Pad\'e approximants to this beta function and evaluate effects of scheme dependence. From our study, we find that in the range of coupling where the perturbative calculation of the four-loop beta function is reliable, it does not exhibit robust evidence for an infrared zero.

[ { "created": "Fri, 16 Dec 2016 18:24:06 GMT", "version": "v1" } ]

2017-01-25

[ [ "Choi", "Gongjun", "" ], [ "Ryttov", "Thomas", "" ], [ "Shrock", "Robert", "" ] ]

We investigate whether the beta function of the finite-$N$ Gross-Neveu model, as calculated up to the four-loop level, exhibits evidence for an infrared zero. As part of our analysis, we calculate and analyze Pad\'e approximants to this beta function and evaluate effects of scheme dependence. From our study, we find that in the range of coupling where the perturbative calculation of the four-loop beta function is reliable, it does not exhibit robust evidence for an infrared zero.

8.225372

7.918702

8.125755

7.584423

7.462196

7.036381

7.71378

7.833325

7.237038

7.726547

6.96314

7.606522

7.684172

7.854641

7.698276

7.61454

7.888648

7.682183

7.585021

7.570879

7.504497

1708.07479

Andrei Mironov

A. Mironov, A. Morozov

q-Painleve equation from Virasoro constraints

6 pages

Phys.Lett. B785 (2018) 207-210

10.1016/j.physletb.2018.08.046

FIAN/TD-17/17; IITP/TH-13/17; ITEP/TH-22/17

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The q-Painleve equation, satisfied by the Fourier transform of the q-Virasoro conformal blocks at c=1, is interpreted as a reformulation of the string equation and two other Virasoro constraints in the $5d$ Dotsenko-Fateev matrix model.

[ { "created": "Thu, 24 Aug 2017 16:13:41 GMT", "version": "v1" } ]

2018-09-05

[ [ "Mironov", "A.", "" ], [ "Morozov", "A.", "" ] ]

The q-Painleve equation, satisfied by the Fourier transform of the q-Virasoro conformal blocks at c=1, is interpreted as a reformulation of the string equation and two other Virasoro constraints in the $5d$ Dotsenko-Fateev matrix model.

11.024503

9.465752

11.916609

9.721331

10.544729

8.342847

8.898607

9.390599

9.275665

15.232483

8.993538

9.319192

11.092573

9.371789

10.208627

9.707437

9.57923

9.85817

9.632026

11.688645

9.850848

hep-th/0403229

Eloy Ay\'on-Beato

Eloy Ay\'on-Beato and Alberto Garc\'ia

Four Parametric Regular Black Hole Solution

RevTeX, 6 pages, minor changes

Gen.Rel.Grav. 37 (2005) 635

10.1007/s10714-005-0050-y

CECS-PHY-04/06

hep-th gr-qc

null

We present a regular class of exact black hole solutions of Einstein equations coupled with a nonlinear electrodynamics source. For weak fields the nonlinear electrodynamics becomes the Maxwell theory, and asymptotically the solutions behave as the Reissner-Nordstr\"om one. The class is endowed with four parameters, which can be thought of as the mass $m$, charge $q$, and a sort of dipole and quadrupole moments $\alpha$ and $\beta$, respectively. For $\alpha \geq 3$, $\beta \geq 4$, and $|q| \leq 2 s_c m$ the corresponding solutions are regular charged black holes. For $\alpha=3$, they also satisfy the weak energy condition. For $\alpha=\beta=0$ we recover the Reissner-Nordstr\"om singular solution and for $\alpha=3$, $\beta=4$ the family includes a previous regular black hole reported by the authors.

[ { "created": "Tue, 23 Mar 2004 02:26:58 GMT", "version": "v1" }, { "created": "Thu, 5 May 2005 17:29:38 GMT", "version": "v2" } ]

2016-08-16

[ [ "Ayón-Beato", "Eloy", "" ], [ "García", "Alberto", "" ] ]

We present a regular class of exact black hole solutions of Einstein equations coupled with a nonlinear electrodynamics source. For weak fields the nonlinear electrodynamics becomes the Maxwell theory, and asymptotically the solutions behave as the Reissner-Nordstr\"om one. The class is endowed with four parameters, which can be thought of as the mass $m$, charge $q$, and a sort of dipole and quadrupole moments $\alpha$ and $\beta$, respectively. For $\alpha \geq 3$, $\beta \geq 4$, and $|q| \leq 2 s_c m$ the corresponding solutions are regular charged black holes. For $\alpha=3$, they also satisfy the weak energy condition. For $\alpha=\beta=0$ we recover the Reissner-Nordstr\"om singular solution and for $\alpha=3$, $\beta=4$ the family includes a previous regular black hole reported by the authors.

5.704586

5.541109

4.729055

4.857453

5.044702

5.333892

5.482171

5.093888

5.187247

5.324618

5.463341

5.368279

5.127216

5.242964

5.222585

5.371115

5.420679

5.11474

5.462387

5.108036

5.343399

hep-th/9511133

Giovanni Amelino

G. Amelino-Camelia, L. Griguolo, and D. Seminara

Lorentz Anomaly and 1+1-Dimensional Radiating Black Holes

7 pages, LaTex

Phys.Lett. B371 (1996) 41-45

10.1016/0370-2693(95)01613-9

OUTP-95-42-P/MIT-CTP-2484

hep-th

null

The radiation from the black holes of a 1+1-dimensional chiral quantum gravity model is studied. Most notably, a non-trivial dependence on a renormalization parameter that characterizes the anomaly relations is uncovered in an improved semiclassical approximation scheme; this dependence is not present in the naive semiclassical approximation.

[ { "created": "Sat, 18 Nov 1995 16:07:00 GMT", "version": "v1" } ]

2009-10-28

[ [ "Amelino-Camelia", "G.", "" ], [ "Griguolo", "L.", "" ], [ "Seminara", "D.", "" ] ]

The radiation from the black holes of a 1+1-dimensional chiral quantum gravity model is studied. Most notably, a non-trivial dependence on a renormalization parameter that characterizes the anomaly relations is uncovered in an improved semiclassical approximation scheme; this dependence is not present in the naive semiclassical approximation.

17.857697

15.564055

16.062344

15.920197

16.130888

17.081442

15.278122

15.373442

15.891297

15.024462

15.562939

15.102114

16.280378

15.284938

14.428717

16.045858

15.142213

15.25447

15.41532

15.545131

14.930408

0704.2237

Nadav Drukker

Nadav Drukker, Simone Giombi, Riccardo Ricci and Diego Trancanelli

More supersymmetric Wilson loops

9 pages, LaTeX

Phys.Rev.D76:107703,2007

10.1103/PhysRevD.76.107703

HU-EP-07/13, YITP-SB-07-12, Imperial/TP/07/RR/02

hep-th

null

We present a large new family of Wilson loop operators in N=4 supersymmetric Yang-Mills theory. For an arbitrary curve on the three dimensional sphere one can add certain scalar couplings to the Wilson loop so it preserves at least two supercharges. Some previously known loops, notably the 1/2 BPS circle, belong to this class, but we point out many more special cases which were not known before and could provide further tests of the AdS/CFT correspondence.

[ { "created": "Wed, 18 Apr 2007 14:25:53 GMT", "version": "v1" } ]

2008-11-26

[ [ "Drukker", "Nadav", "" ], [ "Giombi", "Simone", "" ], [ "Ricci", "Riccardo", "" ], [ "Trancanelli", "Diego", "" ] ]

We present a large new family of Wilson loop operators in N=4 supersymmetric Yang-Mills theory. For an arbitrary curve on the three dimensional sphere one can add certain scalar couplings to the Wilson loop so it preserves at least two supercharges. Some previously known loops, notably the 1/2 BPS circle, belong to this class, but we point out many more special cases which were not known before and could provide further tests of the AdS/CFT correspondence.

9.724903

6.744739

11.072616

7.719305

7.642615

7.469979

6.77297

7.358971

7.684031

12.588994

7.738709

8.216303

9.744133

8.834904

8.952168

8.329186

8.626728

8.354014

8.925245

9.82424

9.212088

hep-th/9503210

Louise Dolan

L. Dolan and S. Horvath

BRST properties of spin fields

24 pages, plain tex, no figures

Nucl.Phys.B448:220-244,1995

10.1016/0550-3213(95)00251-M

IFP/499/UNC

hep-th

null

For the closed superstring, spin fields and bi-spinor states are defined directly in four spacetime dimensions. Explicit operator product expansions are given, including those for the internal superconformal field theory, which are consistent with locality and BRST invariance for the string vertices. The most general BRST picture changing for these fields is computed. A covariant notation for the spin decomposition of these states is developed in which non-vanishing polarizations are selected automatically. The kinematics of the three-gluon dual model amplitude in both the Neveu-Schwarz and Ramond sectors in the Lorentz gauges is calculated and contrasted. Modular invariance and enhanced gauge symmetry of four-dimensional models incorporating these states is described.

[ { "created": "Wed, 29 Mar 1995 20:42:46 GMT", "version": "v1" } ]

2010-11-15

[ [ "Dolan", "L.", "" ], [ "Horvath", "S.", "" ] ]

For the closed superstring, spin fields and bi-spinor states are defined directly in four spacetime dimensions. Explicit operator product expansions are given, including those for the internal superconformal field theory, which are consistent with locality and BRST invariance for the string vertices. The most general BRST picture changing for these fields is computed. A covariant notation for the spin decomposition of these states is developed in which non-vanishing polarizations are selected automatically. The kinematics of the three-gluon dual model amplitude in both the Neveu-Schwarz and Ramond sectors in the Lorentz gauges is calculated and contrasted. Modular invariance and enhanced gauge symmetry of four-dimensional models incorporating these states is described.

18.246975

17.52553

19.21295

16.2782

17.109236

17.15715

16.521395

17.168823

17.068607

21.220907

15.853515

16.860233

18.5576

17.678568

16.817995

17.478506

17.029034

16.959888

17.340897

19.080286

16.754093

0706.2050

Georgi Dvali

Gia Dvali

Black Holes and Large N Species Solution to the Hierarchy Problem

13 pages, Latex

Fortsch.Phys.58:528-536,2010

10.1002/prop.201000009

null

hep-th

null

We provide the perturbative and non-perturbative arguments showing that theories with large number of species of the quantum fields, imply an inevitable hierarchy between the masses of the species and the Planck scale, shedding a different light on the hierarchy problem. In particular, using the black hole physics, we prove that any consistent theory that includes N number of the Z_2-conserved species of the quantum fields of mass \Lambda, puts a lower bound on the Planck mass, which in large N limit is given by N\Lambda^2. An useful byproduct of this proof is that any exactly conserved quantum charge, not associated with a long-range classical field, must be defined maximum modulo N, bounded by the the ratio of the Planck to the unit charge masses squared. For example, a continuous global U(1) `baryon number' symmetry, must be explicitly broken by gravity, at least down to a Z_N subgroup, with N bounded by the ratio of the Planck to baryon masses squared. The same constraint applies to any discrete gauge symmetry, as well as to other quantum-mechanically detectable black hole charges that are associated with the massive quantum hair of the black hole. We show that the gravitationally-coupled N-species sector that solves the gauge hirearchy problem, should be probed by LHC.

[ { "created": "Thu, 14 Jun 2007 07:30:55 GMT", "version": "v1" } ]

2014-11-18

[ [ "Dvali", "Gia", "" ] ]

We provide the perturbative and non-perturbative arguments showing that theories with large number of species of the quantum fields, imply an inevitable hierarchy between the masses of the species and the Planck scale, shedding a different light on the hierarchy problem. In particular, using the black hole physics, we prove that any consistent theory that includes N number of the Z_2-conserved species of the quantum fields of mass \Lambda, puts a lower bound on the Planck mass, which in large N limit is given by N\Lambda^2. An useful byproduct of this proof is that any exactly conserved quantum charge, not associated with a long-range classical field, must be defined maximum modulo N, bounded by the the ratio of the Planck to the unit charge masses squared. For example, a continuous global U(1) `baryon number' symmetry, must be explicitly broken by gravity, at least down to a Z_N subgroup, with N bounded by the ratio of the Planck to baryon masses squared. The same constraint applies to any discrete gauge symmetry, as well as to other quantum-mechanically detectable black hole charges that are associated with the massive quantum hair of the black hole. We show that the gravitationally-coupled N-species sector that solves the gauge hirearchy problem, should be probed by LHC.

12.206017

12.129211

12.613205

11.76429

12.907475

12.592935

12.984022

12.229055

11.392077

12.943162

11.76164

11.640357

11.636443

11.305821

11.097168

11.661607

11.387765

11.63383

11.345981

11.633087

11.131884

1703.05408

Masaya Kameyama

Masaya Kameyama and Satoshi Nawata

Refined large N duality for knots

Two Mathematica notebooks are attached as ancillary files; in v2, the title is changed, an extension to non-torus knots is included in section 6, typos are corrected, and references are added; v3, published version

null

10.1142/S0218216520410011

CALT-2017-010

hep-th math-ph math.AG math.GT math.MP

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We formulate large $N$ duality of $\mathrm{U}(N)$ refined Chern-Simons theory with a torus knot/link in $S^3$. By studying refined BPS states in M-theory, we provide the explicit form of low-energy effective actions of Type IIA string theory with D4-branes on the $\Omega$-background. This form enables us to relate refined Chern-Simons invariants of a torus knot/link in $S^3$ to refined BPS invariants in the resolved conifold. Assuming that the extra $\mathrm{U}(1)$ global symmetry acts on BPS states trivially, the duality predicts graded dimensions of cohomology groups of moduli spaces of M2-M5 bound states associated to a torus knot/link in the resolved conifold. Thus, this formulation can be interpreted as a positivity conjecture of refined Chern-Simons invariants of torus knots/links. We also discuss about an extension to non-torus knots.

[ { "created": "Wed, 15 Mar 2017 22:31:25 GMT", "version": "v1" }, { "created": "Wed, 7 Jun 2017 13:46:26 GMT", "version": "v2" }, { "created": "Wed, 15 Jul 2020 12:00:39 GMT", "version": "v3" } ]

2020-07-16

[ [ "Kameyama", "Masaya", "" ], [ "Nawata", "Satoshi", "" ] ]

We formulate large $N$ duality of $\mathrm{U}(N)$ refined Chern-Simons theory with a torus knot/link in $S^3$. By studying refined BPS states in M-theory, we provide the explicit form of low-energy effective actions of Type IIA string theory with D4-branes on the $\Omega$-background. This form enables us to relate refined Chern-Simons invariants of a torus knot/link in $S^3$ to refined BPS invariants in the resolved conifold. Assuming that the extra $\mathrm{U}(1)$ global symmetry acts on BPS states trivially, the duality predicts graded dimensions of cohomology groups of moduli spaces of M2-M5 bound states associated to a torus knot/link in the resolved conifold. Thus, this formulation can be interpreted as a positivity conjecture of refined Chern-Simons invariants of torus knots/links. We also discuss about an extension to non-torus knots.

5.979929

5.640745

7.496525

5.85926

5.943199

5.787252

5.863731

5.908176

5.766998

8.454332

5.611617

5.866791

6.61546

5.923998

5.692631

5.898291

5.836811

5.644584

5.831285

6.450832

5.785583

2311.12105

Thibaut Coudarchet

Hiding the extra dimensions: A review on scale separation in string theory

1+63 pages, 3 figures. v2,v3: minor changes, references added

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We present an overview of both older and recent developments concerning scale separation in string theory. We focus on parametric scale separation obtained at the classical level in flux compactifications down to AdS vacua. We review the scenarios that have been proposed to achieve a hierarchy of scales between spacetime and the internal space, built from a low-dimensional perspective. We then discuss how they have been understood to arise from proper higher-dimensional descriptions. Eventually, limitations of these constructions as well as Swampland and holographic arguments addressing the question of scale separation in string theory are discussed. The purpose of the review is to draw an accurate picture of the state of the art of the subject at the moment.

[ { "created": "Mon, 20 Nov 2023 19:00:03 GMT", "version": "v1" }, { "created": "Fri, 1 Dec 2023 16:33:41 GMT", "version": "v2" }, { "created": "Mon, 19 Feb 2024 14:28:03 GMT", "version": "v3" } ]

2024-02-20

[ [ "Coudarchet", "Thibaut", "" ] ]

We present an overview of both older and recent developments concerning scale separation in string theory. We focus on parametric scale separation obtained at the classical level in flux compactifications down to AdS vacua. We review the scenarios that have been proposed to achieve a hierarchy of scales between spacetime and the internal space, built from a low-dimensional perspective. We then discuss how they have been understood to arise from proper higher-dimensional descriptions. Eventually, limitations of these constructions as well as Swampland and holographic arguments addressing the question of scale separation in string theory are discussed. The purpose of the review is to draw an accurate picture of the state of the art of the subject at the moment.

12.831912

12.872421

13.741569

12.375069

11.989594

13.138067

11.655611

12.591727

12.04882

14.091096

11.846145

12.409614

13.114323

11.900305

12.214778

12.465068

11.882862

11.955032

12.406925

13.197908

12.005417

1706.04587

Matheus Ara\'ujo Marques

L. Losano, M.A. Marques and R. Menezes

Generalized scalar field models with the same energy density and linear stability

6 pages, 4 figures

Phys. Lett. B 775 (2017) 178

10.1016/j.physletb.2017.10.064

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study how the properties of a Lagrangian density for a single real scalar field in flat spacetime change with inclusion of an overall factor depending only on the field. The focus of the paper is to obtain analytical results. So, we show that even though it is possible to perform a field redefinition to get an equivalent canonical model, it is not always feasible to write the canonical model in terms of elementary functions. Also, we investigate the behavior of the energy density and the linear stability of the solutions. Finally, we show that one can find a class of models that present the same energy density and the same stability potential.

[ { "created": "Wed, 14 Jun 2017 17:01:05 GMT", "version": "v1" } ]

2017-11-20

[ [ "Losano", "L.", "" ], [ "Marques", "M. A.", "" ], [ "Menezes", "R.", "" ] ]

We study how the properties of a Lagrangian density for a single real scalar field in flat spacetime change with inclusion of an overall factor depending only on the field. The focus of the paper is to obtain analytical results. So, we show that even though it is possible to perform a field redefinition to get an equivalent canonical model, it is not always feasible to write the canonical model in terms of elementary functions. Also, we investigate the behavior of the energy density and the linear stability of the solutions. Finally, we show that one can find a class of models that present the same energy density and the same stability potential.

9.663126

8.393566

9.264595

9.093534

8.829618

8.649347

8.844829

9.09323

8.24481

9.525553

8.335832

8.876676

9.478032

9.287354

9.240421

9.079391

9.182257

9.073367

9.225807

9.141333

8.935389

2103.03267

David Osten

Currents, charges and algebras in exceptional generalised geometry

24+9 pages, version 2: comparison to the M5-brane current of Hatsuda and Kamimura added, references added

null

10.1007/JHEP06(2021)070

null

hep-th math-ph math.MP

http://creativecommons.org/licenses/by/4.0/

A classical $E_{d(d)}$-invariant Hamiltonian formulation of world-volume theories of half-BPS p-branes in type IIb and eleven-dimensional supergravity is proposed, extending known results to $d \leq 6$. It consists of a Hamiltonian, characterised by a generalised metric, and a current algebra constructed s.t. it reproduces the $E_{d(d)}$ generalised Lie derivative. $E_{d(d)}$-covariance necessitates the introduction of so-called charges, specifying the type of p-brane and the choice of section. For p>2, currents of p-branes are generically non-geometric due to the imposition of U-duality, e.g. the M5-currents contain coordinates associated to the M2-momentum. A derivation of the $E_{d(d)}$-invariant current algebra from a canonical Poisson structure is in general not possible. At most, one can derive a current algebra associated to para-Hermitian exceptional geometry. The membrane in the SL(5)-theory is studied in detail. It is shown that in a generalised frame the current algebra is twisted by the generalised fluxes. As a consistency check, the double dimensional reduction from membranes in M-theory to strings in type IIa string theory is performed. Many features generalise to p-branes in SL(p+3) generalised geometries that form building blocks for the $E_{d(d)}$-invariant currents.

[ { "created": "Thu, 4 Mar 2021 19:01:54 GMT", "version": "v1" }, { "created": "Mon, 22 Mar 2021 12:17:55 GMT", "version": "v2" } ]

2021-06-30

[ [ "Osten", "David", "" ] ]

A classical $E_{d(d)}$-invariant Hamiltonian formulation of world-volume theories of half-BPS p-branes in type IIb and eleven-dimensional supergravity is proposed, extending known results to $d \leq 6$. It consists of a Hamiltonian, characterised by a generalised metric, and a current algebra constructed s.t. it reproduces the $E_{d(d)}$ generalised Lie derivative. $E_{d(d)}$-covariance necessitates the introduction of so-called charges, specifying the type of p-brane and the choice of section. For p>2, currents of p-branes are generically non-geometric due to the imposition of U-duality, e.g. the M5-currents contain coordinates associated to the M2-momentum. A derivation of the $E_{d(d)}$-invariant current algebra from a canonical Poisson structure is in general not possible. At most, one can derive a current algebra associated to para-Hermitian exceptional geometry. The membrane in the SL(5)-theory is studied in detail. It is shown that in a generalised frame the current algebra is twisted by the generalised fluxes. As a consistency check, the double dimensional reduction from membranes in M-theory to strings in type IIa string theory is performed. Many features generalise to p-branes in SL(p+3) generalised geometries that form building blocks for the $E_{d(d)}$-invariant currents.

9.334905

9.370967

11.159685

9.00726

9.523305

9.663587

9.467338

9.053705

8.74703

11.733891

8.927684

8.67702

9.590508

8.625566

8.563119

8.69756

9.008918

8.600266

8.726738

9.627884

8.632779

2311.16968

Andjelo Samsarov

Nikola Herceg, Tajron Juri\'c, Andjelo Samsarov, Ivica Smoli\'c

Towards gravitational QNM spectrum from quantum spacetime

9 pages, 1 figure; presented and prepared for "the XII. International Symposium on Quantum Theory and Symmetries" (QTS12) and "XXVII. International Conference on Integrable Systems and Quantum Symmetries" (ISQS27),July 24-28 2023., Prague

null

RBI-ThPhys-2023-46

hep-th

http://creativecommons.org/licenses/by/4.0/

The effective potential for the axial mode of gravitational wave on noncommutative Schwarzschild background is presented. Noncommutativity is introduced via deformed Hopf algebra of diffeomorphisms by means of a semi-Killing Drinfeld twist. The analysis is performed up to the first order in perturbation of the metric and noncommutativity parameter. This results in a modified Regge-Wheeler potential with the strongest differences in comparison to the classical Regge-Wheeler potential being near the horizon.

[ { "created": "Tue, 28 Nov 2023 17:14:53 GMT", "version": "v1" } ]

2023-11-29

[ [ "Herceg", "Nikola", "" ], [ "Jurić", "Tajron", "" ], [ "Samsarov", "Andjelo", "" ], [ "Smolić", "Ivica", "" ] ]

The effective potential for the axial mode of gravitational wave on noncommutative Schwarzschild background is presented. Noncommutativity is introduced via deformed Hopf algebra of diffeomorphisms by means of a semi-Killing Drinfeld twist. The analysis is performed up to the first order in perturbation of the metric and noncommutativity parameter. This results in a modified Regge-Wheeler potential with the strongest differences in comparison to the classical Regge-Wheeler potential being near the horizon.

9.684943

10.221445

9.37549

8.663683

9.367943

8.91143

10.195212

8.958234

8.888168

10.867322

8.795301

9.767259

9.016443

8.912243

9.776534

9.421941

9.346682

8.912616

9.010596

8.956009

9.062088

2312.11610

Liang Ma

Peng-Ju Hu, Liang Ma, H. Lu and Yi Pang

Improved Reall-Santos method for AdS black holes in general 4-derivative gravities

LateX; 33 pages; accepted by SCIENCE CHINA Physics, Mechanics & Astronomy

Sci. China Phys. Mech. Astron. 67 (2024) 8, 280412

10.1007/s11433-024-2398-1

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

For asymptotically flat black holes, Reall-Santos method is a convenient tool to compute leading higher derivative corrections to the thermodynamic quantities without actually solving the modified field equations. However, there are subtleties in its generalization to asymptotically AdS black holes with general higher derivative corrections. First of all, it is necessary to know all the higher derivative holographic counterterms and the surface terms implementing the variational principle and subtracting the divergence. One then needs to solve for the modified AdS radius and rescale the time coordinate in an appropriate way such that the induced metric on the conformal boundary of AdS black hole is not modified. We observe that Reall-Santos method can be directly applied to a particular 4-derivative gravity model, known as the Einstein-Weyl gravity, which does not modify the AdS radius and requires only the Gibbons-Hawking-York term and holographic counterterms for the 2-derivative theory. We thus suggest that to compute the thermodynamic quantities of AdS black holes in general 4-derivative theories of gravity, one simply needs to transform it to a Einstein-Weyl gravity with identical thermodynamic variables by appropriate field redefinitions. We explicitly verify this proposal with spherically-symmetric and static charged black holes in Einstein-Maxwell theory extended with generic 4-derivative interactions.

[ { "created": "Mon, 18 Dec 2023 19:00:00 GMT", "version": "v1" }, { "created": "Mon, 5 Feb 2024 07:13:51 GMT", "version": "v2" }, { "created": "Wed, 17 Apr 2024 13:50:40 GMT", "version": "v3" } ]

2024-07-30

[ [ "Hu", "Peng-Ju", "" ], [ "Ma", "Liang", "" ], [ "Lu", "H.", "" ], [ "Pang", "Yi", "" ] ]

For asymptotically flat black holes, Reall-Santos method is a convenient tool to compute leading higher derivative corrections to the thermodynamic quantities without actually solving the modified field equations. However, there are subtleties in its generalization to asymptotically AdS black holes with general higher derivative corrections. First of all, it is necessary to know all the higher derivative holographic counterterms and the surface terms implementing the variational principle and subtracting the divergence. One then needs to solve for the modified AdS radius and rescale the time coordinate in an appropriate way such that the induced metric on the conformal boundary of AdS black hole is not modified. We observe that Reall-Santos method can be directly applied to a particular 4-derivative gravity model, known as the Einstein-Weyl gravity, which does not modify the AdS radius and requires only the Gibbons-Hawking-York term and holographic counterterms for the 2-derivative theory. We thus suggest that to compute the thermodynamic quantities of AdS black holes in general 4-derivative theories of gravity, one simply needs to transform it to a Einstein-Weyl gravity with identical thermodynamic variables by appropriate field redefinitions. We explicitly verify this proposal with spherically-symmetric and static charged black holes in Einstein-Maxwell theory extended with generic 4-derivative interactions.

7.297152

7.16397

7.434235

6.938137

7.646878

7.73094

7.546256

7.193487

7.162504

7.968722

7.225374

7.123746

7.302203

7.161448

7.029815

7.005723

7.281692

7.213857

7.199172

7.547108

7.26638

1910.07607

Victoria Martin

Cynthia Keeler, Victoria L. Martin and Andrew Svesko

BTZ one-loop determinants via the Selberg zeta function for general spin

null

10.1007/JHEP10(2020)138

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We relate the heat kernel and quasinormal mode methods of computing the 1-loop partition function of arbitrary spin fields on a rotating (Euclidean) BTZ background using the Selberg zeta function associated with $\mathbb{H}^{3}/\mathbb{Z}$, extending (1811.08433). Previously, Perry and Williams showed for a scalar field that the zeros of the Selberg zeta function coincide with the poles of the associated scattering operator upon a relabeling of integers. We extend the integer relabeling to the case of general spin, and discuss its relationship to the removal of non-square-integrable Euclidean zero modes.

[ { "created": "Wed, 16 Oct 2019 20:58:22 GMT", "version": "v1" } ]

2020-12-02

[ [ "Keeler", "Cynthia", "" ], [ "Martin", "Victoria L.", "" ], [ "Svesko", "Andrew", "" ] ]

We relate the heat kernel and quasinormal mode methods of computing the 1-loop partition function of arbitrary spin fields on a rotating (Euclidean) BTZ background using the Selberg zeta function associated with $\mathbb{H}^{3}/\mathbb{Z}$, extending (1811.08433). Previously, Perry and Williams showed for a scalar field that the zeros of the Selberg zeta function coincide with the poles of the associated scattering operator upon a relabeling of integers. We extend the integer relabeling to the case of general spin, and discuss its relationship to the removal of non-square-integrable Euclidean zero modes.

13.649954

11.396478

14.417183

11.059954

12.757547

13.157289

12.553227

11.879632

12.740623

16.447454

11.89257

12.210622

12.838544

12.341471

12.323656

12.961103

12.231173

12.672051

12.277905

13.395215

12.296481

hep-th/9810007

Jorge Ananias Neto

Petr M. Lavrov, Jorge Ananias Neto and Wilson Oliveira

A proposal for a generalized canonical osp(1,2) quantization of dynamical systems with constraints

Revised version. To appear in Mod.Phys.Lett.A

null

10.1142/S0217732399000626

DF/UFJF-98-03

hep-th

null

The aim of this paper is to consider a possibility of constructing for arbitrary dynamical systems with first-class constraints a generalized canonical quantization method based on the osp(1,2) supersymmetry principle. This proposal can be considered as a counterpart to the osp(1,2)-covariant Lagrangian quantization method introduced recently by Geyer, Lavrov and M\"ulsch. The gauge dependence of Green's functions is studied. It is shown that if the parameter m^2 of the osp(1,2) superalgebra is not equal to zero then the vacuum functional and S-matrix depend on the gauge. In the limit $m\to 0$ the gauge independence of vacuum functional and S - matrix are restored. The Ward identities related to the osp(1,2) symmetry are derived.

[ { "created": "Thu, 1 Oct 1998 14:34:14 GMT", "version": "v1" }, { "created": "Mon, 15 Mar 1999 14:22:36 GMT", "version": "v2" } ]

2015-06-26

[ [ "Lavrov", "Petr M.", "" ], [ "Neto", "Jorge Ananias", "" ], [ "Oliveira", "Wilson", "" ] ]

The aim of this paper is to consider a possibility of constructing for arbitrary dynamical systems with first-class constraints a generalized canonical quantization method based on the osp(1,2) supersymmetry principle. This proposal can be considered as a counterpart to the osp(1,2)-covariant Lagrangian quantization method introduced recently by Geyer, Lavrov and M\"ulsch. The gauge dependence of Green's functions is studied. It is shown that if the parameter m^2 of the osp(1,2) superalgebra is not equal to zero then the vacuum functional and S-matrix depend on the gauge. In the limit $m\to 0$ the gauge independence of vacuum functional and S - matrix are restored. The Ward identities related to the osp(1,2) symmetry are derived.

7.478891

7.043189

8.072062

7.010484

7.307808

6.840482

7.163311

6.654955

5.955449

8.108977

6.578138

6.833448

7.221113

7.040421

6.976711

7.068072

7.041827

7.057363

7.078738

7.170479

6.809125

hep-th/0108034

Martin Schaden

Mass Generation, Ghost Condensation and Broken Symmetry: SU(2) in Covariant Abelian Gauges

11 pages, Latex with 2 postscript figures, uses psfig. Talk given at Confinement IV, Vienna 2000

null

10.1142/9789812778567_0026

null

hep-th

null

The local action of an SU(2) gauge theory in general covariant Abelian gauges and the associated equivariant BRST symmetry that guarantees the perturbative renormalizability of the model are given. A global SL(2,R) symmetry of the model is spontaneously broken by ghost-antighost condensation at arbitrarily small coupling. This leads to propagators that are finite at Euclidean momenta for all elementary fields except the Abelian ``photon''. Ward Identities show that the symmetry breaking gives rise to massless BRST-quartets with ghost numbers (1,2,-2,-1) and (0,1,-1,0). The latter quartet is interpreted as due to an Abelian Higgs mechanism in the dual description of the model.

[ { "created": "Tue, 7 Aug 2001 01:56:23 GMT", "version": "v1" } ]

2017-08-23

[ [ "Schaden", "Martin", "" ] ]

The local action of an SU(2) gauge theory in general covariant Abelian gauges and the associated equivariant BRST symmetry that guarantees the perturbative renormalizability of the model are given. A global SL(2,R) symmetry of the model is spontaneously broken by ghost-antighost condensation at arbitrarily small coupling. This leads to propagators that are finite at Euclidean momenta for all elementary fields except the Abelian ``photon''. Ward Identities show that the symmetry breaking gives rise to massless BRST-quartets with ghost numbers (1,2,-2,-1) and (0,1,-1,0). The latter quartet is interpreted as due to an Abelian Higgs mechanism in the dual description of the model.

9.759734

7.498801

9.489175

7.725331

7.389076

6.51609

6.670834

6.906598

7.973661

9.683346

7.452067

8.317638

9.138675

8.493546

8.180885

8.194766

8.297313

8.206395

8.646949

9.022953

8.671298

hep-th/9912017

Klaus Bering

K. Bering (IFT)

Family of Boundary Poisson Brackets

6 pages, LaTeX. v2: Typo in Eq. (5.1) corrected

Phys.Lett. B486 (2000) 426-430

10.1016/S0370-2693(00)00778-4

UFIFT-HEP-99-18

hep-th

null

We find a new d-parameter family of ultra-local boundary Poisson brackets that satisfy the Jacobi identity. The two already known cases (hep-th/9305133, hep-th/9806249 and hep-th/9901112) of ultra-local boundary Poisson brackets are included in this new continuous family as special cases.

[ { "created": "Thu, 2 Dec 1999 23:37:02 GMT", "version": "v1" }, { "created": "Fri, 3 Dec 1999 23:44:47 GMT", "version": "v2" } ]

2009-10-31

[ [ "Bering", "K.", "", "IFT" ] ]

We find a new d-parameter family of ultra-local boundary Poisson brackets that satisfy the Jacobi identity. The two already known cases (hep-th/9305133, hep-th/9806249 and hep-th/9901112) of ultra-local boundary Poisson brackets are included in this new continuous family as special cases.

14.747441

12.173157

12.908984

11.599067

12.262552

12.875714

12.409398

10.755659

12.201211

15.81536

11.230419

13.234763

13.808475

12.09637

12.210404

13.270015

12.551776

12.50581

12.999265

13.071245

11.946032

0809.5236

Kostyantyn Ropotenko

K.Ropotenko

What is the maximum rate at which entropy of a string can increase?

11 pages, no figures; formulas (18), (20) are corrected (the quantum constant is added), a point concerning a relation between the Hawking and Hagedorn temperatures is corrected, conclusions unchanged; accepted by Physical Review D for publication

Phys.Rev.D79:064003,2009

10.1103/PhysRevD.79.064003

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

According to Susskind, a string falling toward a black hole spreads exponentially over the stretched horizon due to repulsive interactions of the string bits. In this paper such a string is modeled as a self-avoiding walk and the string entropy is found. It is shown that the rate at which information/entropy contained in the string spreads is the maximum rate allowed by quantum theory. The maximum rate at which the black hole entropy can increase when a string falls into a black hole is also discussed.

[ { "created": "Tue, 30 Sep 2008 15:55:54 GMT", "version": "v1" }, { "created": "Thu, 15 Jan 2009 08:20:33 GMT", "version": "v2" }, { "created": "Thu, 26 Feb 2009 07:32:39 GMT", "version": "v3" } ]

2009-12-01

[ [ "Ropotenko", "K.", "" ] ]

According to Susskind, a string falling toward a black hole spreads exponentially over the stretched horizon due to repulsive interactions of the string bits. In this paper such a string is modeled as a self-avoiding walk and the string entropy is found. It is shown that the rate at which information/entropy contained in the string spreads is the maximum rate allowed by quantum theory. The maximum rate at which the black hole entropy can increase when a string falls into a black hole is also discussed.

10.215303

9.808323

8.796413

8.284488

9.759598

8.550429

8.639155

8.066263

8.703903

10.036329

8.589857

9.026723

9.386355

8.836652

9.108237

8.442361

8.980262

8.859045

8.688922

9.256819

8.962312

1305.2797

Byungwoo Kang

Bulk Cluster Decomposition in AdS/CFT and A No-Go Theorem for Correlators in Microstates of Extremal Black Holes

17 pages. Clarified some statements

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Applying the thermo-field double formalism to extremal black holes in AdS with a macroscopic horizon, we show that (1) there exists a natural basis for the degenerate microstates of an extremal black hole, and (2) cluster decomposition in the bulk implies that all correlators are exactly the same for every microstate of the extremal black hole. The latter statement can be interpreted in two ways. First, at the fully non-perturbative level of AdS/CFT at finite N, it means that cluster decomposition does not hold in the bulk. This may be viewed as a sharp manifestation of the bulk non-locality at finite N. Second, at the level of the perturbation theory in 1/N, in which case we expect the bulk cluster decomposition, no measurement of either boundary operators or bulk field operators can distinguish the different microstates. The latter interpretation may exclude some versions of the fuzzball conjecture that assert that different microstates of a black hole are realized in the bulk as different metric and field configurations.

[ { "created": "Mon, 13 May 2013 14:52:00 GMT", "version": "v1" }, { "created": "Sun, 19 May 2013 07:36:35 GMT", "version": "v2" } ]

2013-05-21

[ [ "Kang", "Byungwoo", "" ] ]

Applying the thermo-field double formalism to extremal black holes in AdS with a macroscopic horizon, we show that (1) there exists a natural basis for the degenerate microstates of an extremal black hole, and (2) cluster decomposition in the bulk implies that all correlators are exactly the same for every microstate of the extremal black hole. The latter statement can be interpreted in two ways. First, at the fully non-perturbative level of AdS/CFT at finite N, it means that cluster decomposition does not hold in the bulk. This may be viewed as a sharp manifestation of the bulk non-locality at finite N. Second, at the level of the perturbation theory in 1/N, in which case we expect the bulk cluster decomposition, no measurement of either boundary operators or bulk field operators can distinguish the different microstates. The latter interpretation may exclude some versions of the fuzzball conjecture that assert that different microstates of a black hole are realized in the bulk as different metric and field configurations.

7.665

8.573049

9.558835

8.010723

8.290768

8.365056

8.454972

8.430003

7.825157

10.075123

7.618054

7.687874

7.828125

7.415073

7.600208

7.477383

7.782997

7.665939

7.319924

7.788276

7.420743

hep-th/9408010

J. Baacke

J. Baacke and T. Daiber (Dortmund University)

One-loop corrections to the instanton transition in the two-dimensional Abelian Higgs model

DO-TH-94/17, 20 pages, 4 figures appended as uucompressed .eps files, LaTeX, needs epsfig.sty

Phys.Rev. D51 (1995) 795-801

10.1103/PhysRevD.51.795

null

hep-th hep-lat hep-ph

null

We present an evaluation of the fluctuation determinant which appears as a prefactor in the instanton transition rate for the two-dimensional Abelian Higgs model. The corrections are found to change the rate at most by a factor of 2 for 0.4 < M_W/M_H < 2.0.

[ { "created": "Tue, 2 Aug 1994 14:07:04 GMT", "version": "v1" } ]

2009-10-28

[ [ "Baacke", "J.", "", "Dortmund University" ], [ "Daiber", "T.", "", "Dortmund University" ] ]

We present an evaluation of the fluctuation determinant which appears as a prefactor in the instanton transition rate for the two-dimensional Abelian Higgs model. The corrections are found to change the rate at most by a factor of 2 for 0.4 < M_W/M_H < 2.0.

10.939363

9.350388

9.116271

8.3345

8.656401

10.034404

9.570428

9.531092

8.706594

9.113396

9.71517

8.982954

9.456289

9.096793

9.732657

9.61344

9.523214

9.777983

9.160432

10.548028

9.646384

hep-th/9711199

Javier Borlaf

E. Alvarez, J. Borlaf and J.H. Le\'on

Killings, Duality and Characteristic Polynomials

14 pages, Latex

Phys.Lett. B421 (1998) 162-168

10.1016/S0370-2693(97)01585-2

IFT-UAM/CSIC-97-01

hep-th

null

In this paper the complete geometrical setting of (lowest order) abelian T-duality is explored with the help of some new geometrical tools (the reduced formalism). In particular, all invariant polynomials (the integrands of the characteristic classes) can be explicitly computed for the dual model in terms of quantities pertaining to the original one and with the help of the canonical connection whose intrinsic characterization is given. Using our formalism the physically, and T-duality invariant, relevant result that top forms are zero when there is an isometry without fixed points is easily proved.

[ { "created": "Thu, 27 Nov 1997 13:19:33 GMT", "version": "v1" } ]

2009-10-30

[ [ "Alvarez", "E.", "" ], [ "Borlaf", "J.", "" ], [ "León", "J. H.", "" ] ]

In this paper the complete geometrical setting of (lowest order) abelian T-duality is explored with the help of some new geometrical tools (the reduced formalism). In particular, all invariant polynomials (the integrands of the characteristic classes) can be explicitly computed for the dual model in terms of quantities pertaining to the original one and with the help of the canonical connection whose intrinsic characterization is given. Using our formalism the physically, and T-duality invariant, relevant result that top forms are zero when there is an isometry without fixed points is easily proved.

20.12068

19.071138

20.078844

18.217203

21.413731

23.196259

20.30286

17.03207

18.729025

22.822472

18.513557

17.998541

18.410093

17.279543

17.767929

17.383329

17.537901

17.234846

16.683851

18.084793

16.980658

hep-th/9605095

null

Matthias Blau, Ian Jermyn, George Thompson

Solving Topological Field Theories on Mapping Tori

16 pages, LaTeX file

Phys.Lett. B383 (1996) 169-178

10.1016/0370-2693(96)00728-9

IC/96/74, ENSLAPP-L-590/96

hep-th

null

Using gauge theory and functional integral methods, we derive concrete expressions for the partition functions of BF theory and the U(1|1) model of Rozansky and Saleur on $\Sigma x S^{1}$, both directly and using equivalent two-dimensional theories. We also derive the partition function of a certain non-abelian generalization of the U(1|1) model on mapping tori and hence obtain explicit expressions for the Ray-Singer torsion on these manifolds. Extensions of these results to BF and Chern-Simons theories on mapping tori are also discussed. The topological field theory actions of the equivalent two-dimensional theories we find have the interesting property of depending explicitly on the diffeomorphism defining the mapping torus while the quantum field theory is sensitive only to its isomorphism class defining the mapping torus as a smooth manifold.

[ { "created": "Tue, 14 May 1996 13:42:26 GMT", "version": "v1" } ]

2009-10-30

[ [ "Blau", "Matthias", "" ], [ "Jermyn", "Ian", "" ], [ "Thompson", "George", "" ] ]

Using gauge theory and functional integral methods, we derive concrete expressions for the partition functions of BF theory and the U(1|1) model of Rozansky and Saleur on $\Sigma x S^{1}$, both directly and using equivalent two-dimensional theories. We also derive the partition function of a certain non-abelian generalization of the U(1|1) model on mapping tori and hence obtain explicit expressions for the Ray-Singer torsion on these manifolds. Extensions of these results to BF and Chern-Simons theories on mapping tori are also discussed. The topological field theory actions of the equivalent two-dimensional theories we find have the interesting property of depending explicitly on the diffeomorphism defining the mapping torus while the quantum field theory is sensitive only to its isomorphism class defining the mapping torus as a smooth manifold.

8.314713

8.715154

9.438938

8.666802

8.58367

9.126279

9.205021

8.709453

8.762619

10.369098

8.310172

8.203856

8.738955

7.90159

7.930429

7.977574

8.220273

8.001467

8.076948

8.242424

8.311216

1511.01108

Julio Alberto M\'endez

Eloy Ay\'on-Beato, Daniel Higuita-Borja, Julio A. M\'endez-Zavaleta

Rotating (A)dS black holes in bigravity

8 pages

Phys. Rev. D 93, 024049 (2016)

10.1103/PhysRevD.93.024049

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In this paper we explore the advantage of using the Kerr-Schild Ansatz in the search of analytic configurations to bigravity. It turns out that it plays a crucial role by providing means to straightforwardly calculate the square root matrix encoding the interaction terms between both gravities. We rederive in this spirit the Babichev-Fabbri family of asymptotically flat rotating black holes with the aid of an emerging circularity theorem. Taking into account that the interaction terms contain by default two cosmological constants, we repeat our approach starting from the more natural seeds for the Kerr-Schild Ansatz in this context: the (A)dS spacetimes. As result, we show that a couple of Kerr-(A)dS black holes constitute an exact solution to ghost free bigravity. These black holes share the same angular momentum and (A)dS radius but their masses are not constrained to be equal, similarly to the asymptotically flat case.

[ { "created": "Tue, 3 Nov 2015 21:06:30 GMT", "version": "v1" }, { "created": "Fri, 5 Feb 2016 01:11:51 GMT", "version": "v2" }, { "created": "Mon, 17 Jul 2017 07:50:30 GMT", "version": "v3" } ]

2017-07-18

[ [ "Ayón-Beato", "Eloy", "" ], [ "Higuita-Borja", "Daniel", "" ], [ "Méndez-Zavaleta", "Julio A.", "" ] ]

In this paper we explore the advantage of using the Kerr-Schild Ansatz in the search of analytic configurations to bigravity. It turns out that it plays a crucial role by providing means to straightforwardly calculate the square root matrix encoding the interaction terms between both gravities. We rederive in this spirit the Babichev-Fabbri family of asymptotically flat rotating black holes with the aid of an emerging circularity theorem. Taking into account that the interaction terms contain by default two cosmological constants, we repeat our approach starting from the more natural seeds for the Kerr-Schild Ansatz in this context: the (A)dS spacetimes. As result, we show that a couple of Kerr-(A)dS black holes constitute an exact solution to ghost free bigravity. These black holes share the same angular momentum and (A)dS radius but their masses are not constrained to be equal, similarly to the asymptotically flat case.

12.262599

13.106537

12.038526

12.754716

11.796054

12.466347

12.179917

11.576642

12.639744

13.455375

11.89401

11.800294

12.202838

11.657275

11.73278

11.41513

11.85768

11.426953

11.938416

11.742093

11.81724

1806.09072

Jung Hun Lee

Chanyong Park, Daeho Ro, Jung Hun Lee

c-theorem of the entanglement entropy

24 pages, 8 figures

null

10.1007/JHEP11(2018)165

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We holographically investigate the renormalization group flow in a two-dimensional conformal field theory deformed by a relevant operator. If the relevant operator allows another fixed point, the UV conformal field theory smoothly flows to a new IR conformal field theory. From the holographic point of view, such a renormalization group flow can be realized as a dual geometry interpolating two different AdS boundaries. On this interpolating geometry, we investigate how the c-function of the entanglement entropy behaves along the RG flow analyt- ically and numerically, which reproduces the expected central charges of UV and IR. We also show that the c-function monotonically decreases from UV to IR without any phase transition.

[ { "created": "Sun, 24 Jun 2018 02:55:23 GMT", "version": "v1" } ]

2018-12-05

[ [ "Park", "Chanyong", "" ], [ "Ro", "Daeho", "" ], [ "Lee", "Jung Hun", "" ] ]

We holographically investigate the renormalization group flow in a two-dimensional conformal field theory deformed by a relevant operator. If the relevant operator allows another fixed point, the UV conformal field theory smoothly flows to a new IR conformal field theory. From the holographic point of view, such a renormalization group flow can be realized as a dual geometry interpolating two different AdS boundaries. On this interpolating geometry, we investigate how the c-function of the entanglement entropy behaves along the RG flow analyt- ically and numerically, which reproduces the expected central charges of UV and IR. We also show that the c-function monotonically decreases from UV to IR without any phase transition.

7.62182

6.246267

7.588024

6.894624

6.489749

6.30724

6.674722

6.177746

6.607729

8.507289

6.595442

7.053427

7.261978

7.118488

7.014226

6.902176

7.187779

6.812812

7.208026

7.294928

7.033115

hep-th/0309172

Ali Serdar Arikan

Abdullah Algin, Metin Arik, Ali Serdar Arikan

Two-parameter deformed supersymmetric oscillators with SUq1/q2(n|m)-covariance

10 pages

Mod.Phys.Lett.A20:613-622,2005

10.1142/S0217732305015781

null

hep-th

null

A two-parameter deformed superoscillator system with SUq1/q2(n|m)-covariance is presented and used to construct a two-parameter deformed N=2 SUSY algebra. The Fock space representation of the algebra is discussed and the deformed Hamiltonian for such generalized superoscillators is obtained.

[ { "created": "Wed, 17 Sep 2003 07:38:15 GMT", "version": "v1" }, { "created": "Thu, 25 Mar 2004 12:14:37 GMT", "version": "v2" } ]

2011-07-28

[ [ "Algin", "Abdullah", "" ], [ "Arik", "Metin", "" ], [ "Arikan", "Ali Serdar", "" ] ]

A two-parameter deformed superoscillator system with SUq1/q2(n|m)-covariance is presented and used to construct a two-parameter deformed N=2 SUSY algebra. The Fock space representation of the algebra is discussed and the deformed Hamiltonian for such generalized superoscillators is obtained.

13.527155

11.632846

15.655041

11.233644

12.108936

14.221252

13.208248

12.913005

10.576872

14.782778

11.887788

11.482171

14.869976

11.782634

11.203293

12.420083

11.71381

12.210398

10.812347

13.404124

11.121135

2305.02895

Lin Yi-Yu

Yi-Yu Lin

Distilled density matrices of holographic PEE from thread-state correspondence

34 pages,7 figures

null

hep-th

http://creativecommons.org/licenses/by/4.0/

Within the framework of holographic duality, CMI (conditional mutual information) is often understood as a correlation between ``region pairs" and is closely related to the concept of partial entanglement entropy (PEE). The main theme of this paper is to try to understand the rigorous physical meaning of such a region-pair correlation. This relies on the idea of holographic bit threads and the recently developed thread-state correspondence. In a sense, this effort also prompted us to give a definition of PEE based on the density matrices of the holographic distilled states. Specifically, drawing from experience with the locking multiflow configuration, we first provide a bipartite entanglement explanation for the PEE=CMI scheme, but it leads to difficulties in characterizing the entanglement entropy of disconnected regions. We then introduce multipartite entanglement through the generalized $n$-thread/perfect tensor state correspondence to solve this problem and explain the coincidence between CMI and tripartite information in the holographic quantum systems.

[ { "created": "Thu, 4 May 2023 15:03:26 GMT", "version": "v1" } ]

2023-05-05

[ [ "Lin", "Yi-Yu", "" ] ]

Within the framework of holographic duality, CMI (conditional mutual information) is often understood as a correlation between ``region pairs" and is closely related to the concept of partial entanglement entropy (PEE). The main theme of this paper is to try to understand the rigorous physical meaning of such a region-pair correlation. This relies on the idea of holographic bit threads and the recently developed thread-state correspondence. In a sense, this effort also prompted us to give a definition of PEE based on the density matrices of the holographic distilled states. Specifically, drawing from experience with the locking multiflow configuration, we first provide a bipartite entanglement explanation for the PEE=CMI scheme, but it leads to difficulties in characterizing the entanglement entropy of disconnected regions. We then introduce multipartite entanglement through the generalized $n$-thread/perfect tensor state correspondence to solve this problem and explain the coincidence between CMI and tripartite information in the holographic quantum systems.

17.189703

16.535664

18.185438

16.349373

16.841473

15.89265

15.464612

15.75188

16.433048

20.213188

14.000319

15.971998

16.087814

15.975727

16.573698

15.792321

15.971084

15.549209

16.21759

17.221132

15.231125

hep-th/9607237

Raimar Wulkenhaar

Grand Unification in Non-Associative Geometry

48 pages, LaTeX2e + AMS macros + graphics.sty + eps table; revised version: A Majorana mass for the right neutrinos has been introduced. This leads to an additional 50-plet of Higgs fields, and an unobserved neutral gauge field gets a very large mass

null

hep-th

null

We formulate the flipped SU(5) x U(1)-GUT within the framework of non-associative geometry. It suffices to take the matrix Lie algebra su(5) as the input; the u(1)-part with its representation on the fermions is an algebraic consequence. The occurring Higgs multiplets (24,5,45,50-representations of su(5)) are uniquely determined by the fermionic mass matrix and the spontaneous symmetry breaking pattern to SU(3) x U(1). We find the most general gauge invariant Higgs potential that is compatible with the given Higgs vacuum. Our formalism yields tree-level predictions for the masses of all gauge and Higgs bosons. It turns out that the low-energy sector is identical with the standard model. In particular, there exists precisely one light Higgs field, whose upper bound for the mass is 1.45 m_t. All remaining 207 Higgs fields are extremely heavy.

[ { "created": "Wed, 31 Jul 1996 12:54:43 GMT", "version": "v1" }, { "created": "Mon, 10 Feb 1997 20:45:13 GMT", "version": "v2" } ]

2008-02-03

[ [ "Wulkenhaar", "Raimar", "" ] ]

We formulate the flipped SU(5) x U(1)-GUT within the framework of non-associative geometry. It suffices to take the matrix Lie algebra su(5) as the input; the u(1)-part with its representation on the fermions is an algebraic consequence. The occurring Higgs multiplets (24,5,45,50-representations of su(5)) are uniquely determined by the fermionic mass matrix and the spontaneous symmetry breaking pattern to SU(3) x U(1). We find the most general gauge invariant Higgs potential that is compatible with the given Higgs vacuum. Our formalism yields tree-level predictions for the masses of all gauge and Higgs bosons. It turns out that the low-energy sector is identical with the standard model. In particular, there exists precisely one light Higgs field, whose upper bound for the mass is 1.45 m_t. All remaining 207 Higgs fields are extremely heavy.

10.202861

11.201886

10.065893

9.504519

11.037794

11.193602

10.175627

10.649466

9.809835

10.849151

9.929708

9.926423

9.733289

9.250553

9.89271

9.795853

9.66185

9.626066

9.634807

9.954616

9.36305

hep-th/0505099

Radu Roiban

A. Dymarsky, I.R. Klebanov, R. Roiban

Perturbative Search for Fixed Lines in Large N Gauge Theories

31 pages, 4 figures, latex v2: Clarifications and reference added

JHEP 0508 (2005) 011

10.1088/1126-6708/2005/08/011

null

hep-th hep-ph

null

The logarithmic running of marginal double-trace operators is a general feature of 4-d field theories containing scalar fields in the adjoint or bifundamental representation. Such operators provide leading contributions in the large N limit; therefore, the leading terms in their beta functions must vanish for a theory to be large N conformal. We calculate the one-loop beta functions in orbifolds of the N=4 SYM theory by a discrete subgroup Gamma of the SU(4) R-symmetry, which are dual to string theory on AdS_5 x S^5/Gamma. We present a general strategy for determining whether there is a fixed line passing through the origin of the coupling constant space. Then we study in detail some classes of non-supersymmetric orbifold theories, and emphasize the importance of decoupling the U(1) factors. Among our examples, which include orbifolds acting freely on the S^5, we do not find any large N non-supersymmetric theories with fixed lines passing through the origin. Connection of these results with closed string tachyon condensation in AdS_5 x S^5/Gamma is discussed.

[ { "created": "Wed, 11 May 2005 19:39:03 GMT", "version": "v1" }, { "created": "Tue, 7 Jun 2005 13:24:35 GMT", "version": "v2" } ]

2009-11-11

[ [ "Dymarsky", "A.", "" ], [ "Klebanov", "I. R.", "" ], [ "Roiban", "R.", "" ] ]

The logarithmic running of marginal double-trace operators is a general feature of 4-d field theories containing scalar fields in the adjoint or bifundamental representation. Such operators provide leading contributions in the large N limit; therefore, the leading terms in their beta functions must vanish for a theory to be large N conformal. We calculate the one-loop beta functions in orbifolds of the N=4 SYM theory by a discrete subgroup Gamma of the SU(4) R-symmetry, which are dual to string theory on AdS_5 x S^5/Gamma. We present a general strategy for determining whether there is a fixed line passing through the origin of the coupling constant space. Then we study in detail some classes of non-supersymmetric orbifold theories, and emphasize the importance of decoupling the U(1) factors. Among our examples, which include orbifolds acting freely on the S^5, we do not find any large N non-supersymmetric theories with fixed lines passing through the origin. Connection of these results with closed string tachyon condensation in AdS_5 x S^5/Gamma is discussed.

6.898384

6.238597

7.657694

6.735837

7.202501

6.890224

7.093993

7.10503

6.683186

8.475193

6.752424

6.621974

6.872637

6.643142

6.676944

6.810657

6.752733

6.935181

6.701088

7.065834

6.791263

1311.1512

Martin Sprenger

J. Bartels, J. Kotanski, V. Schomerus, M. Sprenger

The Excited Hexagon Reloaded

6 pages

null

DESY 13-197

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

This work revisits the computation of six-gluon scattering amplitudes in the high energy limit of strongly coupled N=4 supersymmetric Yang-Mills theory. It is based on previous studies in which we showed that the amplitude simplifies in the Regge regime and outlined an efficient computational scheme. By exploiting a symmetry of the underlying equations we are now able to argue that a term we had seen in preliminary numerical studies must vanish identically. The derived formula for the Regge limit of the 6-gluon scattering amplitude at strong coupling differs from the one we had conjectured previously.

[ { "created": "Wed, 6 Nov 2013 21:00:03 GMT", "version": "v1" } ]

2013-11-08

[ [ "Bartels", "J.", "" ], [ "Kotanski", "J.", "" ], [ "Schomerus", "V.", "" ], [ "Sprenger", "M.", "" ] ]

This work revisits the computation of six-gluon scattering amplitudes in the high energy limit of strongly coupled N=4 supersymmetric Yang-Mills theory. It is based on previous studies in which we showed that the amplitude simplifies in the Regge regime and outlined an efficient computational scheme. By exploiting a symmetry of the underlying equations we are now able to argue that a term we had seen in preliminary numerical studies must vanish identically. The derived formula for the Regge limit of the 6-gluon scattering amplitude at strong coupling differs from the one we had conjectured previously.

8.613242

8.570067

8.221296

7.85868

8.203691

8.109428

8.329939

7.759414

8.077629

8.892323

8.231413

8.265935

8.393486

8.212124

8.379142

8.448331

8.148512

8.143747

8.041613

8.251667

8.182897

hep-th/0208090

Osman Teoman Turgut

O. Teoman Turgut (Bogazici University, Istanbul, and KTH, Stockholm, and Feza Gursey Institute, Istanbul)

On two dimensional coupled bosons and fermions

25 pages, no figures

J.Math.Phys. 44 (2003) 198-219

10.1063/1.1516846

null

hep-th

null

We study complex bosons and fermions coupled through a generalized Yukawa type coupling in the large-N_c limit following ideas of Rajeev [Int. Jour. Mod. Phys. A 9 (1994) 5583]. We study a linear approximation to this model. We show that in this approximation we do not have boson-antiboson and fermion-antifermion bound states occuring together. There is a possibility of having only fermion-antifermion bound states. We support this claim by finding distributional solutions with energies lower than the two mass treshold in the fermion sector. This also has implications from the point of view of scattering theory to this model. We discuss some aspects of the scattering above the two mass treshold of boson pairs and fermion pairs. We also briefly present a gauged version of the same model and write down the linearized equations of motion.

[ { "created": "Tue, 13 Aug 2002 14:07:18 GMT", "version": "v1" } ]

2009-11-07

[ [ "Turgut", "O. Teoman", "", "Bogazici University, Istanbul, and KTH, Stockholm,\n and Feza Gursey Institute, Istanbul" ] ]

We study complex bosons and fermions coupled through a generalized Yukawa type coupling in the large-N_c limit following ideas of Rajeev [Int. Jour. Mod. Phys. A 9 (1994) 5583]. We study a linear approximation to this model. We show that in this approximation we do not have boson-antiboson and fermion-antifermion bound states occuring together. There is a possibility of having only fermion-antifermion bound states. We support this claim by finding distributional solutions with energies lower than the two mass treshold in the fermion sector. This also has implications from the point of view of scattering theory to this model. We discuss some aspects of the scattering above the two mass treshold of boson pairs and fermion pairs. We also briefly present a gauged version of the same model and write down the linearized equations of motion.

8.648943

9.966962

9.636399

8.982326

9.727184

9.242548

9.882668

8.705029

8.742586

9.428341

8.622625

8.606463

9.031131

8.615785

8.417119

8.491975

8.955244

8.668846

8.655738

9.06098

8.334671

1506.04589

Leonardo Modesto

Pietro Don\`a, Stefano Giaccari, Leonardo Modesto, Leslaw Rachwal, Yiwei Zhu

Scattering amplitudes in super-renormalizable gravity

25 pages, 2 Figures

null

10.1007/JHEP08(2015)038

null

hep-th gr-qc hep-ph math-ph math.MP

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We explicitly compute the tree-level on-shell four-graviton amplitudes in four, five and six dimensions for local and weakly nonlocal gravitational theories that are quadratic in both, the Ricci and scalar curvature with form factors of the d'Alembertian operator inserted between. More specifically we are interested in renormalizable, super-renormalizable or finite theories. The scattering amplitudes for these theories turn out to be the same as the ones of Einstein gravity regardless of the explicit form of the form factors. As a special case the four-graviton scattering amplitudes in Weyl conformal gravity are identically zero. Using a field redefinition, we prove that the outcome is correct for any number of external gravitons (on-shell $n-$point functions) and in any dimension for a large class of theories. However, when an operator quadratic in the Riemann tensor is added in any dimension (with the exception of the Gauss-Bonnet term in four dimensions) the result is completely altered, and the scattering amplitudes depend on all the form factors introduced in the action.

[ { "created": "Mon, 15 Jun 2015 13:21:07 GMT", "version": "v1" } ]

2015-09-30

[ [ "Donà", "Pietro", "" ], [ "Giaccari", "Stefano", "" ], [ "Modesto", "Leonardo", "" ], [ "Rachwal", "Leslaw", "" ], [ "Zhu", "Yiwei", "" ] ]

We explicitly compute the tree-level on-shell four-graviton amplitudes in four, five and six dimensions for local and weakly nonlocal gravitational theories that are quadratic in both, the Ricci and scalar curvature with form factors of the d'Alembertian operator inserted between. More specifically we are interested in renormalizable, super-renormalizable or finite theories. The scattering amplitudes for these theories turn out to be the same as the ones of Einstein gravity regardless of the explicit form of the form factors. As a special case the four-graviton scattering amplitudes in Weyl conformal gravity are identically zero. Using a field redefinition, we prove that the outcome is correct for any number of external gravitons (on-shell $n-$point functions) and in any dimension for a large class of theories. However, when an operator quadratic in the Riemann tensor is added in any dimension (with the exception of the Gauss-Bonnet term in four dimensions) the result is completely altered, and the scattering amplitudes depend on all the form factors introduced in the action.

6.945434

7.232423

7.993419

7.279528

7.360628

7.549791

7.429798

7.562314

7.356798

8.134392

7.011766

7.028157

7.24849

7.005906

6.930839

7.043845

7.037542

7.132261

6.836775

7.27835

6.993331

hep-th/0104216

Peter Jarvis

H S Booth, G Legg and P D Jarvis

Algebraic solution for the vector potential in the Dirac equation

14 pages, LaTeX

J.Phys.A34:5667-5678,2001

10.1088/0305-4470/34/28/304

University of Tasmania UTAS-PHYS-01-02

hep-th math-ph math.MP

null

The Dirac equation for an electron in an external electromagnetic field can be regarded as a singular set of linear equations for the vector potential. Radford's method of algebraically solving for the vector potential is reviewed, with attention to the additional constraints arising from non-maximality of the rank. The extension of the method to general spacetimes is illustrated by examples in diverse dimensions with both $c$- and $a$-number wavefunctions.

[ { "created": "Wed, 25 Apr 2001 01:38:13 GMT", "version": "v1" } ]

2008-11-26

[ [ "Booth", "H S", "" ], [ "Legg", "G", "" ], [ "Jarvis", "P D", "" ] ]

The Dirac equation for an electron in an external electromagnetic field can be regarded as a singular set of linear equations for the vector potential. Radford's method of algebraically solving for the vector potential is reviewed, with attention to the additional constraints arising from non-maximality of the rank. The extension of the method to general spacetimes is illustrated by examples in diverse dimensions with both $c$- and $a$-number wavefunctions.

14.041757

16.182198

16.455158

12.845025

13.934612

15.013444

13.697692

13.455525

12.465933

15.637411

13.383445

13.282932

12.948195

12.786182

12.906301

12.585368

12.888684

12.589665

12.708271

13.68734

12.554613

0904.4509

Michael Ambroso

Michael Ambroso and Burt Ovrut

The B-L/Electroweak Hierarchy in Heterotic String and M-Theory

16 pages; typos fixed, analysis generalized

JHEP 0910:011, 2009

10.1088/1126-6708/2009/10/011

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

E8 x E8 heterotic string and M-theory, when compactified on a Calabi-Yau threefold admitting an SU(4) vector bundle with Wilson lines, can give rise to the exact MSSM spectrum with three right-handed neutrino chiral superields, one per family. Rank preserving Wilson lines require that the standard model group be augmented by a gauged U(1)_B-L. Since there are no fields in this theory for which 3(B-L) is an even, non-zero integer, the gauged B-L symmetry must be spontaneously broken at a low scale, not too far above the electroweak scale. It is shown that in these heterotic standard models, the B-L symmetry can be broken, with a phenomenologically viable B-L/electroweak hierarchy, by at least one right-handed sneutrino acquiring a vacuum expectation value. This is explicitly demonstrated, in a specific region of parameter space, using a renormalization group analysis and soft supersymmetry breaking operators. The vacuum state is shown to be a stable, local minimum of the potential and the resultant hierarchy is explicitly presented in terms of tan[beta].

[ { "created": "Wed, 29 Apr 2009 19:19:47 GMT", "version": "v1" }, { "created": "Wed, 10 Jun 2009 22:59:53 GMT", "version": "v2" }, { "created": "Tue, 6 Oct 2009 23:20:28 GMT", "version": "v3" } ]

2009-10-12

[ [ "Ambroso", "Michael", "" ], [ "Ovrut", "Burt", "" ] ]

E8 x E8 heterotic string and M-theory, when compactified on a Calabi-Yau threefold admitting an SU(4) vector bundle with Wilson lines, can give rise to the exact MSSM spectrum with three right-handed neutrino chiral superields, one per family. Rank preserving Wilson lines require that the standard model group be augmented by a gauged U(1)_B-L. Since there are no fields in this theory for which 3(B-L) is an even, non-zero integer, the gauged B-L symmetry must be spontaneously broken at a low scale, not too far above the electroweak scale. It is shown that in these heterotic standard models, the B-L symmetry can be broken, with a phenomenologically viable B-L/electroweak hierarchy, by at least one right-handed sneutrino acquiring a vacuum expectation value. This is explicitly demonstrated, in a specific region of parameter space, using a renormalization group analysis and soft supersymmetry breaking operators. The vacuum state is shown to be a stable, local minimum of the potential and the resultant hierarchy is explicitly presented in terms of tan[beta].

9.323483

8.767475

8.90123

8.078339

7.697752

8.061634

7.876813

7.535985

8.442328

9.249746

8.313834

8.343375

8.856134

8.527232

8.445938

8.330836

8.174951

8.400208

8.584946

8.935237

8.508374

hep-th/0303210

Tsunehide Kuroki

Hikaru Kawai, Tsunehide Kuroki and Takeshi Morita

Dijkgraaf-Vafa theory as large-N reduction

34 pages, LaTeX, to appear in Nucl. Phys. B

Nucl.Phys. B664 (2003) 185-212

10.1016/S0550-3213(03)00408-5

null

hep-th

null

We construct a large-N twisted reduced model of the four-dimensional super Yang-Mills theory coupled to one adjoint matter. We first consider a non-commutative version of the four-dimensional superspace, and then give the mapping rule between matrices and functions on this space explicitly. The supersymmetry is realized as a part of the internal $U(\infty)$ gauge symmetry in this reduced model. Our reduced model can be compared with the Dijkgraaf-Vafa theory that claims the low-energy glueball superpotential of the original gauge theory is governed by a simple one-matrix model. We show that their claim can be regarded as the large-N reduction in the sense that the one-matrix model they proposed can be identified with our reduced model. The map between matrices and functions enables us to make direct identities between the free energies and correlators of the gauge theory and the matrix model. As a by-product, we can give a natural explanation for the unconventional treatment of the one-matrix model in the Dijkgraaf-Vafa theory where eigenvalues lie around the top of the potential.

[ { "created": "Mon, 24 Mar 2003 20:21:08 GMT", "version": "v1" }, { "created": "Fri, 4 Apr 2003 14:47:35 GMT", "version": "v2" }, { "created": "Thu, 29 May 2003 16:12:36 GMT", "version": "v3" } ]

2010-04-05

[ [ "Kawai", "Hikaru", "" ], [ "Kuroki", "Tsunehide", "" ], [ "Morita", "Takeshi", "" ] ]

We construct a large-N twisted reduced model of the four-dimensional super Yang-Mills theory coupled to one adjoint matter. We first consider a non-commutative version of the four-dimensional superspace, and then give the mapping rule between matrices and functions on this space explicitly. The supersymmetry is realized as a part of the internal $U(\infty)$ gauge symmetry in this reduced model. Our reduced model can be compared with the Dijkgraaf-Vafa theory that claims the low-energy glueball superpotential of the original gauge theory is governed by a simple one-matrix model. We show that their claim can be regarded as the large-N reduction in the sense that the one-matrix model they proposed can be identified with our reduced model. The map between matrices and functions enables us to make direct identities between the free energies and correlators of the gauge theory and the matrix model. As a by-product, we can give a natural explanation for the unconventional treatment of the one-matrix model in the Dijkgraaf-Vafa theory where eigenvalues lie around the top of the potential.

9.047799

8.285402

9.556524

8.027039

8.633703

8.357274

8.228654

8.746466

8.429693

10.346585

8.116833

8.510216

8.816427

8.308085

8.52993

8.32873

8.308151

8.170565

8.505237

9.0477

8.325073

1905.10555

Kenichi Konishi

Stefano Bolognesi, Sven Bjarke Gudnason, Kenichi Konishi, Keisuke Ohashi

Large-$N$ $\mathbb{CP}^{N-1}$ sigma model on a Euclidean torus: uniqueness and stability of the vacuum

40 pages, 4 figures

JHEP 1912:044, 2019

10.1007/JHEP12(2019)044

IFUP-TH-2019

hep-th hep-lat

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In this paper we examine analytically the large-$N$ gap equation and its solution for the $2D$ $\mathbb{CP}^{N-1}$ sigma model defined on a Euclidean spacetime torus of arbitrary shape and size ($L, \beta)$, $\beta$ being the inverse temperature. We find that the system has a unique homogeneous phase, with the $\mathbb{CP}^{N-1}$ fields $n_i$ acquiring a dynamically generated mass $\langle\lambda\rangle\ge\Lambda^2$ (analogous to the mass gap of $SU(N)$ Yang-Mills theory in $4D$), for any $\beta$ and $L$. Several related topics in the recent literature are discussed. One concerns the possibility, which turns out to be excluded according to our analysis, of a "Higgs-like" - or deconfinement - phase at small $L$ and at zero temperature. Another topics involves "soliton-like (inhomogeneous) solutions of the generalized gap equation, which we do not find. A related question concerns a possible instability of the standard $\mathbb{CP}^{N-1}$ vacuum on ${\mathbb{R}}^{2}$, which is shown not to occur. In all cases, the difference in the conclusions can be traced to the existence of certain zeromodes and their proper treatment. The $\mathbb{CP}^{N-1}$ model with twisted boundary conditions is also analyzed. The $\theta$ dependence and different limits involving $N$, $\beta$ and $L$ are briefly discussed.

[ { "created": "Sat, 25 May 2019 08:23:41 GMT", "version": "v1" }, { "created": "Mon, 17 Jun 2019 16:38:10 GMT", "version": "v2" }, { "created": "Fri, 22 Nov 2019 12:11:49 GMT", "version": "v3" } ]

2019-12-17

[ [ "Bolognesi", "Stefano", "" ], [ "Gudnason", "Sven Bjarke", "" ], [ "Konishi", "Kenichi", "" ], [ "Ohashi", "Keisuke", "" ] ]

In this paper we examine analytically the large-$N$ gap equation and its solution for the $2D$ $\mathbb{CP}^{N-1}$ sigma model defined on a Euclidean spacetime torus of arbitrary shape and size ($L, \beta)$, $\beta$ being the inverse temperature. We find that the system has a unique homogeneous phase, with the $\mathbb{CP}^{N-1}$ fields $n_i$ acquiring a dynamically generated mass $\langle\lambda\rangle\ge\Lambda^2$ (analogous to the mass gap of $SU(N)$ Yang-Mills theory in $4D$), for any $\beta$ and $L$. Several related topics in the recent literature are discussed. One concerns the possibility, which turns out to be excluded according to our analysis, of a "Higgs-like" - or deconfinement - phase at small $L$ and at zero temperature. Another topics involves "soliton-like (inhomogeneous) solutions of the generalized gap equation, which we do not find. A related question concerns a possible instability of the standard $\mathbb{CP}^{N-1}$ vacuum on ${\mathbb{R}}^{2}$, which is shown not to occur. In all cases, the difference in the conclusions can be traced to the existence of certain zeromodes and their proper treatment. The $\mathbb{CP}^{N-1}$ model with twisted boundary conditions is also analyzed. The $\theta$ dependence and different limits involving $N$, $\beta$ and $L$ are briefly discussed.

7.467655

7.806193

8.078671

7.19207

7.557927

7.57017

7.454387

7.45174

7.247759

8.221888

7.365547

6.965563

7.63821

7.300373

7.41355

7.121651

7.111712

7.1295

7.184631

7.451264

7.105847

2009.12530

Fabio Scardigli

Luca Buoninfante, Giuseppe Gaetano Luciano, Luciano Petruzziello, Fabio Scardigli

Bekenstein bound and uncertainty relations

7 pages, 1 figure, version published on Phys.Lett.B (derivation improved)

Phys.Lett.B 824 (2022) 136818

10.1016/j.physletb.2021.136818

null

hep-th gr-qc quant-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The non zero value of Planck constant $h$ underlies the emergence of several inequalities that must be satisfied in the quantum realm, the most prominent one being Heisenberg Uncertainty Principle. Among these inequalities, Bekenstein bound provides a universal limit on the entropy that can be contained in a localized quantum system of given size and total energy. In this Letter, we explore how Bekenstein bound is affected when Heisenberg uncertainty relation is deformed so as to accommodate gravitational effects close to Planck scale (Generalized Uncertainty Principle). By resorting to general thermodynamic arguments, and in regimes where the equipartition theorem still holds, we derive in this way a "generalized Bekenstein bound". Physical implications of this result are discussed for both cases of positive and negative values of the deformation parameter.

[ { "created": "Sat, 26 Sep 2020 08:11:05 GMT", "version": "v1" }, { "created": "Thu, 9 Dec 2021 11:01:27 GMT", "version": "v2" } ]

2021-12-10

[ [ "Buoninfante", "Luca", "" ], [ "Luciano", "Giuseppe Gaetano", "" ], [ "Petruzziello", "Luciano", "" ], [ "Scardigli", "Fabio", "" ] ]

The non zero value of Planck constant $h$ underlies the emergence of several inequalities that must be satisfied in the quantum realm, the most prominent one being Heisenberg Uncertainty Principle. Among these inequalities, Bekenstein bound provides a universal limit on the entropy that can be contained in a localized quantum system of given size and total energy. In this Letter, we explore how Bekenstein bound is affected when Heisenberg uncertainty relation is deformed so as to accommodate gravitational effects close to Planck scale (Generalized Uncertainty Principle). By resorting to general thermodynamic arguments, and in regimes where the equipartition theorem still holds, we derive in this way a "generalized Bekenstein bound". Physical implications of this result are discussed for both cases of positive and negative values of the deformation parameter.

8.498724

8.516807

8.729757

8.083546

8.476125

8.112084

8.356762

7.884808

8.435166

8.488936

7.605357

8.118087

7.765448

7.623457

7.846853

7.708368

7.941456

7.805277

7.690351

7.836306

7.625573

hep-th/9807066

Tomohiko Takahashi

Tsuguhiko Asakawa, Taichiro Kugo and Tomohiko Takahashi

BRS Invariance of Unoriented Open-Closed String Field Theory

53 pages, LaTeX with PTPTeX.sty, 23 eps figures, style file replaced

Prog.Theor.Phys. 100 (1998) 831-879

10.1143/PTP.100.831

KUNS-1508 HE(TH) 98/06, UT-814

hep-th

null

We present the full action for the unoriented open-closed string field theory which is based on the \alpha=p^+ HIKKO type vertices. The BRS invariance of the action is proved up to the terms which are expected to cancel the anomalous one-loop contributions. This implies that the system is invariant under the gauge transformations with open and closed string field parameters up to the anomalies.

[ { "created": "Thu, 9 Jul 1998 14:01:35 GMT", "version": "v1" }, { "created": "Sat, 11 Jul 1998 09:55:16 GMT", "version": "v2" } ]

2009-10-31

[ [ "Asakawa", "Tsuguhiko", "" ], [ "Kugo", "Taichiro", "" ], [ "Takahashi", "Tomohiko", "" ] ]

We present the full action for the unoriented open-closed string field theory which is based on the \alpha=p^+ HIKKO type vertices. The BRS invariance of the action is proved up to the terms which are expected to cancel the anomalous one-loop contributions. This implies that the system is invariant under the gauge transformations with open and closed string field parameters up to the anomalies.

13.935858

12.281498

15.052392

11.398524

13.722698

12.92728

12.509588

11.472837

12.024783

16.590216

11.688565

12.596252

13.081183

12.432062

12.482254

11.996533

12.196514

12.4309

13.659847

13.259515

12.339944

hep-th/9312119

Pavel Etingof

Alexander Varchenko

Critical Points of the Product of Powers of Linear Functions and Families of Bases of Singular Vectors

15 pages, no figures, posted by Pavel Etingof by the author's request

null

hep-th math.QA

null

The quasiclassical asymptotics of the Knizhnik-Zamolodchikov equation with values in the tensor product of sl(2)- representations are considered. The first term of asymptotics is an eigenvector of a system of commuting operators. We show that the norm of this vector with respect to the Shapovalov form is equal to the determinant of the matrix of second derivatives of a suitable function. This formula is an analog of the Gaudin and Korepin formulae for the norm of the Bethe vectors. We show that the eigenvectors form a basis under certain conditions.

[ { "created": "Tue, 14 Dec 1993 16:24:25 GMT", "version": "v1" } ]

2008-02-03

[ [ "Varchenko", "Alexander", "" ] ]

The quasiclassical asymptotics of the Knizhnik-Zamolodchikov equation with values in the tensor product of sl(2)- representations are considered. The first term of asymptotics is an eigenvector of a system of commuting operators. We show that the norm of this vector with respect to the Shapovalov form is equal to the determinant of the matrix of second derivatives of a suitable function. This formula is an analog of the Gaudin and Korepin formulae for the norm of the Bethe vectors. We show that the eigenvectors form a basis under certain conditions.

6.005036

6.251467

7.261683

5.663495

6.592306

5.978705

6.260839

5.68333

6.203866

7.60848

5.893672

5.652643

5.996099

5.658442

5.746346

5.769824

5.810213

5.494565

5.65386

6.172775

5.698742